What are the prime factors of 700? a. 2 × 2 × 2 × 5 × 5 × 7 b. 350 × 2 c. 2 × 2 × 25 × 7 d. 2 × 2 × 5 × 5 × 7

D

Step-by-step explanation:

divide by the prime numbers 2, 3, 5, 7 until 1 is reached. The prime factorisation is the product of the prime numbers we have divided by.

Note if a particular value does not divide by a prime, move on to the next prime.

divide 700 by 2

700 ÷ 2 = 350 ← divide by 2 again ⇒ 2

350 ÷ 2 = 175 ÷ now divide by 5 ⇒ 2

175 ÷ 5 = 35 ← divide by 5 again ⇒ 5

35 ÷ 5 = 7 ← now divide by 7 ⇒ 5

7 ÷ 7 = 1 ← factored when 1 is reached ⇒ 7

700 = 2 × 2 × 5 × 5 × 7 → D