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1323 prime factorization

What is the prime factorization of 1323?

Find the prime factorization of 1323

1323 is divisible by 9:

1323 ÷ 9 = 147

Neither 9 nor 147 are prime numbers.

See Prime numbers 1 through 200.

The prime factorization of 9 is

9 = 3 * 3

See 9 prime factorization.

The prime factorization of 147 is

147 = 3 * 7 * 7

See 147 prime factorization.

Therefore, the prime factorization of 1323 is

1323 =
3 * 3 * 3 * 7 * 7

The prime factorization of 1323 using exponents

1323 = 33 * 72

So, the prime factors of 1323 are

3, 3, 3, 7, 7