Write the following prime factors b.96

Mathematics

ScanSolve AI Answer

Answer

25×32^5 \times 3

Step-by-step solution

4 steps
  1. Divide by the smallest prime number

    Start by dividing 96 by the smallest prime number, 2.
    96÷2=4896 \div 2 = 48

  2. Continue dividing by 2

    Continue dividing the result by 2 until it's no longer divisible by 2.
    48÷2=2448 \div 2 = 24
    24÷2=1224 \div 2 = 12
    12÷2=612 \div 2 = 6
    6÷2=36 \div 2 = 3

  3. Divide by the next prime number

    The current result is 3, which is a prime number.
    3÷3=13 \div 3 = 1

  4. List the prime factors

    The prime factors are all the divisors used: 2, 2, 2, 2, 2, and 3.
    So, 96=2×2×2×2×2×3=25×396 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 = 2^5 \times 3.

    The prime factors of 96 are:
    2^5 \times 3

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