Maharashtra Board Class 7 Chapter 3 Set 11 HCF and LCM Solutions

Question 1. Factorize the following numbers into primes:
(i) 32
Answer:

. 32 = 2 × 2 × 2 × 2 × 2

(ii) 57
Answer:

. 57 = 3 x 19

(iii) 23
Answer:

. 23 = 23 × 1

(iv) 150
Answer:

. 150 = 2 × 3 × 5 × 5

(v) 216
Answer:

. 216 = 2 × 2 × 2 × 3 × 3 × 3

(vi) 208
Answer:

.: 208 = 2 × 2 × 2 × 2 × 13

(vii) 765
Answer:

. 765 = 3 × 3 × 5 × 17

(viii) 342
Answer:

. 342 = 2 × 3 × 3 × 19

(ix) 377
Answer:

. 377 = 13 × 29

(x) 559
Answer:

. 559 = 13 × 43
In simple words: Prime factorization is the process of expressing a composite number as a product of its prime factors. This is achieved by repeatedly dividing the number by the smallest prime number possible until the quotient becomes 1. Each number is broken down into a unique set of prime numbers that multiply together to give the original number.

🎯 Exam Tip: Always begin with the smallest prime factor (2), and continue dividing until it's no longer possible. Then move to the next prime factor (3, 5, 7, 11, etc.). Ensure all prime factors are correctly identified and listed in the final product to get full marks. Practice divisibility rules to speed up the process for larger numbers.