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54 prime factorization

What is the prime factorization of 54 using exponents?

Find the prime factorization of 54

54 is divisible by 6:

54 ÷ 6 = 9

Neither 6 nor 9 are prime numbers.

See Prime numbers 1 through 30.

The prime factorization of 6 is

6 = 2 * 3

The prime factorization of 9 is

9 = 3 * 3

Therefore, the prime factorization of 54 is

54 =
2 * 3 * 3 * 3

The prime factorization of 54 using exponents

54 = 2 * 33

So, the prime factors of 54 are

2, 3, 3, 3