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Find the Prime Factorization 48

Problem

48

Solution

  1. Divide the number by the smallest prime number, which is 2

48÷2=24

  1. Continue dividing the result by 2 as long as it remains even.

24÷2=12

  1. Divide by 2 again.

12÷2=6

  1. Divide by 2 one more time.

6÷2=3

  1. Identify the remaining number, 3 as a prime number.

3÷3=1

  1. Collect all the prime factors used in the divisions.

2×2×2×2×3

  1. Write the result using exponents.

2×3

Final Answer

48=2×3


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