DEMO Presentation about MAthematics Grade 5.pptx

A topic about Mathematics 5

1. Mathematics 5

2. Ma ’am Joy

3. Part 01 REVIEW TIME !!! Shake Shake Shake !!!

4. Part 01 Rounding Decimal Numbers to the Nearest Hundredths and Thousandths

5. 12345.6789 ONES hundredths ten thousandths hundreds ten thousands tens thousands tenths thousandths

6. Example: 0.6526 Round each decimal to the nearest 1. Whole number 2. tenths 3.hundredths 4.thousandths .6 1 0. 6 5 .7 0.6 5 2 0. 65 0.65 2 6 0. 653

7. Part 02 Adding and Subtracting decimals

8. STEPS in ADDING or SUBTRACTING DECIMAL 1. Arrange the numbers in column /vertically. 2. Align the decimal point and the digits that belong to the same value. 3. Add zeros after the last digit to have the same number of decimal places. 4. Add or subtract the digits s tarting on the left most part numbers going to the right.

9. Examples: Adding and Subtracting Decimals

10. Examples: Adding Decimals 52.217 37.536 37.5

11. Examples: Subtracting Decimals 28.501 - 10.295 98.724 - 1 5.561 18.206 83.163

12. Examples: Adding and Subtracting Decimals 1.) 15.63+6.462 2.) 10.25-8.3 15.630 + 6.462 10.25 - 8.30 22.092 1.95

13. Examples: 2.) 7.132 -4.150 2.982 3.) 2.521 1.8 13 +0.675 2.982 4.) 9.724 -5.512 4.212 4.212 5.) 8.315 +1.617 9.932 9.932

14. Example: Adding and Subtracting Decimals 98.789 5.0008 11.568 21 .1 14

15. TERMS RELATED TO ADDITION AND SUBTRACTION ADDITION add sum plus increased more SUBTRACTION subtract difference minus decreased less fewer take away

16. Direction: Write correct answer in the blank. 1 .) 23 . 520 - 7 . 432 16 . 088 16.088 2 .) 6.436 + 9.356 15.792 15.792 3 .) 75.474 + 0.945 76.419 76.419 4 .) 54.600 - 24.546 3 1.054 31.054 5 .) 245 .40 - 74.76 170.64 170.64

17. Example: 1.3856 Round each decimal to the nearest 1. Whole number 2. tenths 3.hundredths 4.thousandths 1 .3 1 1. 3 8 1.4 1.3 8 5 1.39 1.38 5 6 1.386

18. Direction: Choose the letter of the correct answer.

19. Direction: Choose the letter of the correct answer.

20. Part 03 REVIEW ADDING AND SUBTRACTING DECIMAL

21. Hailey put Php950.00 into a savings account. After a while, Php9.5 is added to it. How much was in the account then? 1. Arrange the numbers in column /vertically. 2. Align the decimal point and the digits that belong to the same value. 3. Add zeros after the last digit to have the same number of decimal places. 4. Add or subtract the digits s tarting on the left most part numbers going to the right. 950.00 9.5 950.00 9.5 950.00 + 9.50 Hailey has Php 959.50 in her account. 950.00 9.5

22. Hailey has Php150.999 weekly allowance, she spent a total of Php130.36 in a week. How much left on her weekly allowance? 1. Arrange the numbers in column /vertically. 2. Align the decimal point and the digits that belong to the same value. 3. Add zeros after the last digit to have the same number of decimal places. 4. Add or subtract the digits s tarting on the left most part numbers going to the right. 150.999 130.36 150.999 130.36 150.999 -130.360 150.999 130.360 Hailey has Php20.63 9 left on her weekly allowance

23. Hailey order 1 veggie meal, 2 chicken spaghetti meal and 1 seafood meal, how much does she have to pay? If she has Php 500.00. How much money was left for her? 1 veggie meal=Php 42.25 2 chicken spaghetti meal=Php 89.75 1 seafood meal=Php 98.00 total money=Php500.00

24. Hailey order 1 veggie meal, 2 chicken spaghetti meal and 1 seafood meal, how much does she have to pay? If she has Php 500.00. How much money was left for her? 42.25 89.75 +89.75 98.00 Hailey must pay Php319.75 for all of her meal. veggie meal=42.25 chicken spaghetti meal=89.75 seafood meal=98.00

25. Hailey order 1 veggie meal, 2 chicken spaghetti meal and 1 seafood meal, how much does she have to pay? If she has Php 500.00. How much money was left for her? 500.00 - 319 .75 Hailey’s money left is Php180.25 total money=Php500.00 total money spent=Php319.75

26. Part 04 Solving Routine or Non-routine Problems Involving Addition and Subtraction of Decimal Numbers Including Money Using Appropriate Problem-Solving Strategies and Tools

27. TYPES OF WORD PROBLEM ROUTINE WORD PROBLEM a type of problem in which there is an immediate solution , it involves using at least one of the four arithmetic operations . NON-ROUTINE WORD PROBLEM creative problem solving that requires some degree of creativity, it typically does not have an immediate strategy for solving problems do not come with prescribed steps on how to solve them.

28. STEPS IN PROBLEM SOLVING Step 1: Identify what is asked. Step 2: List down what are given. Step 3: Identify the hidden question, if there is any. Step 4: Identify the operation needed to solve the problem. Step 5: Write the mathematical sentence that will be used to solve the problem Step 6: Solve the problem.

29. EXAMPLE OF ROUTINE WORD PROBLEM A farmer named Pablo is selling all of his crops for Php 13,490.50. When he brought his crops to Rawis Fair Market in Calbayog City, a businessman took all of his crops and only paid Php 5,940.70. How much is the businessman’s balance to pay to Pablo?

30. A farmer named Pablo is selling all of his crops for Php 13,490.50. When he brought his crops to Rawis Fair Market in Calbayog City, a businessman took all of his crops and only paid Php 5,940.70. How much is the businessman’s balance to pay to Pablo? Step 1: Identify what is asked. Step 2: List down what are given. Step 3: Identify the hidden question, if there is any. Step 4: Identify the operation needed to solve the problem. Step 5: Write the mathematical sentence that will be used to solve the problem Step 6: Solve the problem. How much is the businessman’s balance to pay to Pablo? Php 13,490.50 -selling price of Pablo’s crops Php 5,940.70 -the amount of money the businessman paid No hidden question Subtraction N=13490.50-5940.70 (N=balance of the businessman) 13490.50 -5940.70 The businessman still needs to pay Pablo the amount of Php 7, 549.80.

31. EXAMPLE OF NON- ROUTINE WORD PROBLEM Pacita earned Php 469.38 from selling camote tops and ferns. She gave Php 99.37 to her younger brother Paolo and Php 124.93 to her elder sister Perla for their project needs at school. How much money was left for Pacita?

32. Pacita earned Php 469.38 from selling camote tops and ferns. She gave Php 99.37 to her younger brother Paolo and Php 124.93 to her elder sister Perla for their project needs at school. How much money was left for Pacita? Step 1: Identify what is asked. Step 2: List down what are given. Step 3: Identify the hidden question, if there is any. Step 4: Identify the operation needed to solve the problem. Step 5: Write the mathematical sentence that will be used to solve the problem Step 6: Solve the problem. How much money was left for Pacita. Php 469.38 - Pacita’s earning Php 99.37 - given to her younger brother Php 124.93 -given to her elder sister total amount given to her siblings Addition/Subtraction N= 469.38 - (99.37+124.93) (N= money left for Pacita ) 99.37 +124.93 469.38 + 224.30 The amount of money left for Pacita is Php 245.08.

33. EXAMPLE OF ROUTINE WORD PROBLEM Cristina wants to buy shoes for her sister as a birthday present. She already saved Php 555.50. If the shoes costs Php 1,465.75, how much more does Cristina still needs to buy the shoes?

34. Cristina wants to buy shoes for her sister as a birthday present. She already saved Php 555.50. If the shoes costs Php 1,465.75, how much more does Cristina still needs to buy the shoes? Step 1: Identify what is asked. Step 2: List down what are given. Step 3: Identify the hidden question, if there is any. Step 4: Identify the operation needed to solve the problem. Step 5: Write the mathematical sentence that will be used to solve the problem Step 6: Solve the problem. How much more does Cristina still needs to buy the shoes? Php 1465.75 - Pacita’s earning Php 555.50 - given to her younger brother no hidden questions Subtraction N= 1465.75-555.50 (N= money that she still needs to buy the shoes ) 1465.75 - 555.50 Cristina still needs Php 910.25 to buy the shoes.

35. EXAMPLE OF NON- ROUTINE WORD PROBLEM Eric earned Php 1,305.40 from working at a restaurant. He gave Php 350.00 to his mother and paid Php 524.60 for their electric bill. How much money was left for Eric’s savings?

36. Eric earned Php 1,305.40 from working at a restaurant. He gave Php 350.00 to his mother and paid Php 524.60 for their electric bill. How much money was left for Eric’s savings? Step 1: Identify what is asked. Step 2: List down what are given. Step 3: Identify the hidden question, if there is any. Step 4: Identify the operation needed to solve the problem. Step 5: Write the mathematical sentence that will be used to solve the problem Step 6: Solve the problem. How much money was left for Eric’s savings? Php 1,305.40 - Eric’s earning from working at a restaurant Php 350.00 - given to his mother Php 524.60 -paid for their electric bill total amount spent Addition/Subtraction N= 1305.40 - (350.00+524.60) (N= money left for his savings ) 350.00 + 524.60 1305.40 - 874.60 The amount of money left for Eric’s saving is Php 430.80.

37. EXAMPLE OF NON- ROUTINE WORD PROBLEM Karla went to the store and bought a strawberry cupcake worth Php 25.45, a black forest cupcake worth Php 50.24, and a chocolate cupcake worth Php 15.67. Karla used a coupon where Php 15.00 was deducted from the total amount. How much was the total price after the deduction?

38. Karla went to the store and bought a strawberry cupcake worth Php 25.45, a black forest cupcake worth Php 50.24, and a chocolate cupcake worth Php 15.67. Karla used a coupon where Php 15.00 was deducted from the total amount. How much was the total price after the deduction? Step 1: Identify what is asked. Step 2: List down what are given. Step 3: Identify the hidden question, if there is any. Step 4: Identify the operation needed to solve the problem. Step 5: Write the mathematical sentence that will be used to solve the problem Step 6: Solve the problem. How much was the total price after the deduction? Php 25.45 - strawberry Php 15.00-value of coupon Php 50.24 - black forest Php 15.67 -chocolate total amount of cupcakes Addition/Subtraction N= (25.45+50.24+15.67)-15.00 (N= total price after deduction ) 25.45 50.24 + 15.67 91.36 - 15.00 Total price after the deduction is Php 76.36 .

39. EXAMPLE OF NON- ROUTINE WORD PROBLEM Vicky auctioned some antique wares to raise money for charity. She auctioned 3 items. The first item raised Php 10,940.50. The second item raised Php 40,590.62. If she was able to raise a total of Php 113, 590.85, how much money did she raise with the third item

40. Vicky auctioned some antique wares to raise money for charity. She auctioned 3 items. The first item raised Php 10,940.50. The second item raised Php 40,590.62. If she was able to raise a total of Php 113, 590.85, how much money did she raise with the third item Step 1: Identify what is asked. Step 2: List down what are given. Step 3: Identify the hidden question, if there is any. Step 4: Identify the operation needed to solve the problem. Step 5: Write the mathematical sentence that will be used to solve the problem Step 6: Solve the problem. How much money did she raise with third item? Php 10,940.50 - amount raise for the first item Php 40,590.62-amount raise for the second item Php 113,590.85-total amount raise for the three items total amount raise for the two items Addition/Subtraction N= 113,590.85-(10,940.50+40,590.62) (N= amount raise for the third item ) 1 0940.50 + 40590.62 113590.85 - 5153 1.12 Total amount raise for the third item is Php 62,059.73

41. Direction: Choose the letter of the correct answer

42. Direction: Choose the letter of the correct answer

43. THANK YOU!!!

44. DIVISIBILITY RULES

45. Part 0 1 DIVISIBILITY RULES for 2,5, and 10

46. A number is divisible by another number if there is no remainder. Example: True or False 10 is divisible by 2 because 10 divided by 2 is 5 (remainder 0 or no remainder) 15 is divisible by 3 because 15 divided by 3 is 5(remainder 0 or no remainder) 15 is divisible by 7 because 15 divided by 7 is 2 .1 (remainder 1) 9 is divisible by 4 because 9 divided by 4 is 2 .3 (remainder 3) TRUE TRUE FALSE FALSE

47. A divisibility rule is a general rule that is used to determine whether or not a number is divisible by another number.

48. What are the multiples of 2? 2,4,6,8,10,12,14,16,18,20,22,24... Divisibility Rule for 2 - A number is divisible by 2 if the ones digit of the number is 0, 2, 4, 6 or 8.

49. Divisibility Rule for 2 - A number is divisible by 2 if the ones digit of the number is 0, 2, 4, 6 or 8. 13452 36510 63184 46618 51316 (ones digit is 2) (ones digit is 0) (ones digit is 4) (ones digit is 8) (ones digit is 6)

50. What are the multiples of 5? 5,10,15,20,25,30,35,... Divisibility Rule for 5 - A number is divisible by 5 if the ones digit of the number is 0 or 5.

51. Divisibility Rule for 5 - A number is divisible by 5 if the ones digit of the number is 0 or 5. 13450 36515 (ones digit is 0) (ones digit is 5)

52. What are the multiples of 10? 10,20,30,40,50,60,70,... Divisibility Rule for 10 - A number is divisible by 10 if the ones digit of the number is .

53. Divisibility Rule for 10 - A number is divisible by 10 if the ones digit of the number is . 13450 36510 (ones digit is 0) (ones digit is 0)

54. DIVISIBILITY RULES Divisibility Rule for 2 A number is divisible by 2 if the ones digit of the number is 0, 2, 4, 6 or 8. Divisibility Rule for 5 A number is divisible by 5 if the ones digit of the number is 0 or 5 . Divisibility Rule for 10 A number is divisible by 10 if the ones digit of the number is .

55. Activity 1: Say “ Yes” if the number is divisible, and “No” if it is not. 1) Is 130 divisible by 2? 6) Is 405 divisible by 10? 2) Is 326 divisible by 5? 7) Is 415 divisible by 5? 3) Is 124 divisible by 2? 8) Is 660 divisible by 10? 4) Is 405 divisible by 5? 9) Is 212 divisible by 5? 5) Is 567 divisible by 2? 10) Is 470 divisible by 10? YES NO YES YES NO NO YES YES NO YES

56. Activity 2: Example: 30-Divisible by 2,5, and 10 1.) 20 2.) 15 3.) 532 4.) 1225 5.) 11650 Divisible by 2,5 and 10 Divisible by 5 Divisible by 2 Divisible by 5 Divisible by 2,5 and 10

57. DIVISIBILITY RULES Divisibility Rule for 2 A number is divisible by 2 if the ones digit of the number is 0, 2, 4, 6 or 8. Divisibility Rule for 5 A number is divisible by 5 if the ones digit of the number is 0 or 5 . Divisibility Rule for 10 A number is divisible by 10 if the ones digit of the number is .

58. Part 0 2 DIVISIBILITY RULES for 3,6 and 9

59. What are the multiples of 3? 3,6,9,12,15,18,21,24,27,30,... Divisibility Rule for 3 - A number is divisible by 3 if the sum of all its digits is divisible by 3.

60. Divisibility Rule for 3 - A number is divisible by 3 if the sum of all its digits is divisible by 3. 189 19494 4923 1+8+9=18 (18 is divisible by 3) 1+9+4+9+4=27 (27 is divisible by 3) 4+9+2+3=18 (18 is divisible by 3)

61. What are the multiples of 6? 6,12,18,24,30,36,42,48,54,60,... Divisibility Rule for 6 - A number is divisible by 6 if the number is divisible by both 2 and 3.

62. Divisibility Rule for 6 - A number is divisible by 6 if the number is divisible by both 2 and 3. 216 19494 ones digit is 6 (divisible by 2) 2+1+6=9 (9 is divisible by 3) ones digit is 4 (divisible by 2) 1+9+4+9+4=27 (27 is divisible by 3)

63. What are the multiples of 9? 9,18,27,36,45,54,63,72,81,90,... Divisibility Rule for 9 - A number is divisible by 9 if the sum of all its digits is divisible by 9 or a multiple of 9.

64. Divisibility Rule for 9 - A number is divisible by 9 if the sum of all its digits is divisible by 9 or a multiple of 9. 32769 4923 3+2+7+6+9=27 (27 is divisible by 9) 4+9+2+3=18 (18 is divisible by 9)

65. DIVISIBILITY RULES Divisibility Rule for 3 A number is divisible by 3 if the sum of all its digits is divisible by 3. Divisibility Rule for 6 A number is divisible by 6 if the number is divisible by both 2 and 3. Divisibility Rule for 9 A number is divisible by 9 if the sum of all its digits is divisible by 9 or a multiple of 9.

66. Activity 3: Say “ Yes” if the number is divisible, and “No” if it is not. 1) Is 213 divisible by 3? 6) Is 918 divisible by 9? 2) Is 519 divisible by 6? 7) Is 718 divisible by 6? 3) Is 137 divisible by 3? 8) Is 849 divisible by 9? 4) Is 504 divisible by 6? 9) Is 354 divisible by 6? 5) Is 369 divisible by 3? 10) Is 9864 divisible by 9 ? YES NO NO YES YES YES NO NO YES YES

67. Activity 4: Example: 30-Divisible by 2,3,6,5, and 10 1.) 18 2.) 180 3.) 135 4.) 9630 5.) 12125 Divisible by 2,3,6 and 9 Divisible by 2,3,5,6,9 and 10 Divisible by 3,5 and 9 Divisible by 2,3,5,6,9 and 10 Divisible by 5

68. DIVISIBILITY RULES Divisibility Rule for 2 A number is divisible by 2 if the ones digit of the number is 0, 2, 4, 6 or 8. Divisibility Rule for 3 A number is divisible by 3 if the sum of all its digits is divisible by 3. Divisibility Rule for 5 A number is divisible by 5 if the ones digit of the number is 0 or 5 .

69. DIVISIBILITY RULES Divisibility Rule for 6 A number is divisible by 6 if the number is divisible by both 2 and 3. Divisibility Rule for 9 A number is divisible by 9 if the sum of all its digits is divisible by 9 or a multiple of 9. Divisibility Rule for 10 A number is divisible by 10 if the ones digit of the number is .

70. Part 0 3 DIVISIBILITY RULES for 4,8,11 and 12

71. What are the multiples of 4? 4,8,12,16,20,24,28,32,36,40,... Divisibility Rule for 4 - A number is divisible by 4 if the number formed by its last two digits is divisible by 4. If its last two digits are both zeros, then it is also divisible by 4

72. Divisibility Rule for 4 - A number is divisible by 4 if the number formed by its last two digits is divisible by 4. If its last two digits are both zeros, then it is also divisible by 4 32700 49232 last two digits are both zeros (last two digits is 32)32 is divisible by 4

73. What are the multiples of 8? 8,16,24,32,40,48,56,64,72,80,... Divisibility Rule for 8 - A number is divisible by 8 if the number formed by its last three digits is divisible by 8. If the number ends in three zeros, then it is also divisible by 8.

74. Divisibility Rule for 8 - A number is divisible by 8 if the number formed by its last three digits is divisible by 8. If the number ends in three zeros, then it is also divisible by 8. 327000 49232 last three digits are zeros (last three digits is 232)232 is divisible by 8

75. What are the multiples of 11? 11,22,33,44,55,66,77,88,99,110,... Divisibility Rule for 11 - A number is divisible by 11 if the difference of the sum of the odd-positioned digits (starting from the left) and the sum of the even-positioned digits (starting from the left) is zero or if it is a multiple of eleven.

76. Divisibility Rule for 11 - A number is divisible by 11 if the difference of the sum of the odd-positioned digits (starting from the left) and the sum of the even-positioned digits (starting from the left) is zero or if it is a multiple of eleven. 71357 1166 =(7+3+7)-(1+5) =17-6 =11 (11 is divisible by 11) =(1+6)-(1+6) =7-7 =0

77. What are the multiples of 12? 12,24,36,48,60,72,84,96,108,... Divisibility Rule for 12 - A number is divisible by 12 if the sum of its digits is divisible by 3, and the number formed by its last two digits is divisible by 4.

78. Divisibility Rule for 12 - A number is divisible by 12 if the sum of its digits is divisible by 3, and the number formed by its last two digits is divisible by 4. 4380 14532 4+3+8+0=15(15 is divisible by 3) last two digits 80(80 is divisible by 4) 1+4+5+3+2=15(15 is divisible by 3) last two digits 32(32 is divisible by 4)

79. DIVISIBILITY RULES Divisibility Rule for 4 A number is divisible by 4 if the number formed by its last two digits is divisible by 4. If its last two digits are both zeros, then it is also divisible by 4. Divisibility Rule for 8 A number is divisible by 8 if the number formed by its last three digits is divisible by 8. If the number ends in three zeros, then it is also divisible by 8.

80. DIVISIBILITY RULES Divisibility Rule for 11 A number is divisible by 11 if the difference of the sum of the odd-positioned digits (starting from the left) and the sum of the even-positioned digits (starting from the left) is zero or if it is a multiple of eleven. Divisibility Rule for 12 A number is divisible by 12 if the sum of its digits is divisible by 3, and the number formed by its last two digits is divisible by 4.

81. Activity 5: Say “ Yes” if the number is divisible, and “No” if it is not. 1) Is 2 60 divisible by 4 ? 6) Is 28 8 divisible by 8 ? 2) Is 236 divisible by 8 ? 7) Is 7 00 divisible by 4 ? 3) Is 6914 divisible by 11 ? 8) Is 1000 divisible by 8 ? 4) Is 756 divisible by 12 ? 9) Is 918 divisible by 11 ? 5) Is 3 16 divisible by 4 ? 10) Is 189 divisible by 12 ? YES NO NO YES YES YES YES YES NO NO

82. Activity 6: Example: 40-Divisible by 2,4,5, and 10 1.) 396 2.) 264 3.) 132 4.) 3 300 5.) 12000 Divisible by 2,3,6,9,11 and 12 Divisible by 2,3,6,8,11 and 12 Divisible by 2,3,6,11 and 12 Divisible by 2,3,4,5,6,10,11 and 12 Divisible by 2,3,4,5,6,8,10 and 12

83. DIVISIBILITY RULES Divisibility Rule for 2 A number is divisible by 2 if the ones digit of the number is 0, 2, 4, 6 or 8. Divisibility Rule for 3 A number is divisible by 3 if the sum of all its digits is divisible by 3. Divisibility Rule for 4 A number is divisible by 4 if the number formed by its last two digits is divisible by 4. If its last two digits are both zeros, then it is also divisible by 4.

84. DIVISIBILITY RULES Divisibility Rule for 5 A number is divisible by 5 if the ones digit of the number is 0 or 5 . Divisibility Rule for 6 A number is divisible by 6 if the number is divisible by both 2 and 3. Divisibility Rule for 8 A number is divisible by 8 if the number formed by its last three digits is divisible by 8. If the number ends in three zeros, then it is also divisible by 8.

85. DIVISIBILITY RULES Divisibility Rule for 9 A number is divisible by 9 if the sum of all its digits is divisible by 9 or a multiple of 9. Divisibility Rule for 10 A number is divisible by 10 if the ones digit of the number is .

86. DIVISIBILITY RULES Divisibility Rule for 11 A number is divisible by 11 if the difference of the sum of the odd-positioned digits (starting from the left) and the sum of the even-positioned digits (starting from the left) is zero or if it is a multiple of eleven. Divisibility Rule for 12 A number is divisible by 12 if the sum of its digits is divisible by 3, and the number formed by its last two digits is divisible by 4.

87. FACTORS -numbers that can be divided to the given number What are the factors of 20? What are the factors of 40? 1=20 =10 =4 10=2   The factors of 20 are 1,2,4,5,10 and 20 1=40 =20 = 10 =8 10=4   The factors of 40 are 1,2,4,5,8,10,20 and 40    

88. COMMON FACTORS -factors that are the same What are the common factors of 20 and 40? Factors of 20=1,2,4,5,10 and 20 Factors of 40=1,2,4,5,8,10,20 and 40 Common factors of 20 and 40 are 1, 2, 4, 5, 10 and 20

89. What are the common factors of 32 and 12 ? What are the factors of 32? What are the factors of 12? 1=32 =16 4=8 8 =4   factors of 32 are 1,2,4,8,16 and 32 1=12 =6 =4 =2   factors of 12 are 1,2,3,4,6,and 12 Common factors of 32 and 12 are 1 , 2, 3 and 4

90. What are the common factors of 264 and 372 ? What are the factors of 264 ? What are the factors of 372 ? 1= 264 8 = 33 = 3 =8 8 4 = 66   factors of 264 are 1,2 ,3 ,4, 6, 8,1 1,12,22,24,33,44,66,88,132 and 264 1= 372 = = 1 = 6 2 372 = 31   factors of 372 are 1,2,3,4,6,12 ,31,62,93,124,186 and 372 Common factors of 264 and 372 are 1,2,3,4,6 and 12

91. THANK YOU