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13 November, 10:13

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

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  1. 13 November, 10:18
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    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
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