Real numbers - Fundamental theorem of arithmetic real number for class 10th maths.

Real numbers - Fundamental theorem of arithmetic grade x maths students.
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1. REAL NUMBERS Decimal Expansion O f Rational numbers Euclid’s Division Algorithm Fundamental Theorem Of Arithmetic Proofs Based On Irrational Numbers

2. REAL NUMBERS Problems based on Fundamental theorem of Arithmetic Chapter : Real Numbers Website: www.letstute.com

3. Q)Find the HCF and LCM of 16 and 36 by Prime factorisation method. SOLUTION: 16 2 8 2 4 2 2 36 2 18 2 9 3 3 16 = 2 × 2 × 2 × 2 = 2 4 Using the factor tree for prime factorisation, we get Chapter : Real Numbers Website: www.letstute.com Fundamental Theorem Of Arithmetic 36 = 2 × 2 × 3 × 3 = 2 2 × 3 2

4. Common prime factor 2  HCF = 2 2 = 4 Common prime factor 2 3  LCM = = 16 × 9 = 144   Chapter : Real Numbers Website: www.letstute.com Fundamental Theorem Of Arithmetic 2 Least exponent Greatest exponent 4 2 Uncommon prime factor Greatest exponent TO FIND HCF: TO FIND LCM:

5. HOW TO SOLVE FACTORIZE THE GIVEN NUMBERS. TO FIND HCF : COLLECT THE COMMON PRIME FACTORS WITH THE LEAST EXPONENT. TO FIND LCM : COLLECT THE COMMON AND UNCOMMON PRIME FACTORS WITH THE GREATEST EXPONENT.