Divisibility rules

Divisibility rules

1. DIVISIBILTY RULES AJITESH PATRO

2. DIVISIBILTY RULES FOR NUMBERS 2 3 4 5 6 7 8 9 10 11 12

3. Division rule for number “2” RULE ANALYSIS A number is divisible by 2 if the last digit is 0,2,4,6 or 8. Example-9168 /2=4584 9168 is divisible by 2 as the last digit is 8.

4. Division rule for number “3” RULE ANALYSIS A number is divisible by 3 if the sum of the digits is divisible by 3. Example-9168 /3=3056 9168 is divisible by 3 since the sum of the digits is 24. (9+1+6+8=24), and 24 is divisible by 3.

5. Division rule for number “4” RULE ANALYSIS A number is divisible by 4 if the number formed by the last 2 digits is divisible by 4. Example-9168 /4=2292 9 168 is divisible by 4 as the last two digits form the number 68 and it is divisible by 4.(17 X 4=68)

6. Division rule for number “5” RULE ANALYSIS A number is divisible by 5 if last digit is 0 or 5. Example-9170 / 5=1834 9 170 is divisible by 5 as the last digit is 0.

7. Division rule for number “6” RULE ANALYSIS A number is divisible by 6 if it is divisible by 2 and 3 . Example-9168 /6=1528 Example-9168 /2=4584 Example-9168 /3=3056 So 9168 is divisible by 6 as it is divisible by 2 and 3* . *If you forgot how it is divisible by 6, see here .

8. Division rule for number “7” RULE ANALYSIS Take the last digit off the number Double it Subtract the doubled number from the remaining number. If the result is divisible by  7, then the number is divisible by  seven . Example-7168 /7=1024 716 8 8x2=16 716-16=700 700 is divisible by 7

9. Division rule for number “8” RULE ANALYSIS A number is divisible by 8 if the last 3 digits are divisible by 8. Example- 9168 /8=1146 9168 is divisible by 8 as the last 3 digits(168) is divisible by 8(168 when divided by 8 is 21).

10. Division rule for number “9” RULE ANALYSIS Find the sum all the digits. Check whether the digits are divisible by 9. Example- 9171 /9=1019 9171 is divisible by 9 as the sum of the digits (9+1+7+1=18) and 18 is divisible by 9.

11. Division rule for number “10” RULE ANALYSIS Check that last number is zero. Example- 9170 /10=917 9170 is divisible by 10 as the last number is zero.

12. Division rule for number “11” RULE ANALYSIS According to the  divisibility rule  of  11 , we must subtract. Add the digits in odd places. Add the digits in even places. Find difference between both of them. If answer is either 0 or divisible by 11, then it is divisible Example-10813 /11=983 1 8 1 3 Odd place sum=1+8+3=12 Even place sum=0+1=1 Difference=12-1=11

13. Division rule for number “12” RULE ANALYSIS A number is  divisible  by  12  if it is  divisible  by both 3 and 4.  Example -2424/12=202 2+4+2+4=12 divisible by 3 Last two digit is 24 and it is divisible by 4.