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108 prime factorization

What is the prime factorization of 108?

Find the prime factorization of 108

108 is divisible by 2:

108 ÷ 2 = 54

See Divisibility criteria for 2.

2 is a prime number.

54 is not a prime number.

See Prime numbers 1 through 100.

The prime factorization of 54 is

54 =
2 * 3 * 3 * 3

See 54 prime factorization.

Therefore, the prime factorization of 108 is

108 =
2 * 2 * 3 * 3 * 3

The prime factorization of 108 using exponents

108 = 22 * 33

So, the prime factors of 108 are

2, 2, 3, 3, 3