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Question

What is the prime factorization of 72?


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Solution

Determine the prime factorization of 72.

Prime numbers are whole numbers greater than one that can only be divided equally by themselves and one.

Divide 72 by only prime numbers to obtain the prime factorization.

The number 72 is divided by 2, which is a prime number.

72÷2=3636÷2=1818÷2=9

The number 9 is divided by 3, which is a prime number.

9÷3=33÷3=1

Thus, the prime factorization of 72 is obtained as follows:

72=2×2×2×3×364=23×32

Hence, the prime factorization of 72 is 23×32.


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