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126 prime factorization

What is the prime factorization of 126?

Find the prime factorization of 126

126 is divisible by 3:

126 ÷ 3 = 42

See Divisibility criteria for 3.

3 is a prime number.

42 is not a prime number.

See Prime numbers 1 through 50.

The prime factorization of 42 is

42 = 2 * 3 * 7

See 42 prime factorization.

Therefore, the prime factorization of 126 is

126 =
2 * 3 * 3 * 7

The prime factorization of 126 using exponents

126 = 2 * 32 * 7

So, the prime factors of 126 are

2, 3, 3, 7