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147 prime factorization

What is the prime factorization of 147 using exponents? What is the prime factorization of 147?

Find the prime factorization of 147

147 is divisible by 3:

147 ÷ 3 = 49

See Divisibility criteria for 3.

3 is a prime number.

49 is not a prime number.

See Prime numbers 1 through 50.

The prime factorization of 49 is

49 = 7 * 7

Therefore, the prime factorization of 147 is

147 = 3 * 7 * 7

The prime factorization of 147 using exponents

147 = 3 * 72

So, the prime factors of 147 are

3, 7, 7