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735 prime factorization

What is the prime factorization of 735?

Find the prime factorization of 735

735 is divisible by 5:

735 ÷ 5 = 147

See Divisibility criteria for 5.

5 is a prime number.

147 is not a prime number.

See Prime numbers 1 through 200.

The prime factorization of 147 is

147 = 3 * 7 * 7

See 147 prime factorization.

Therefore, the prime factorization of 735 is

735 =
3 * 5 * 7 * 7

The prime factorization of 735 using exponents

735 =
3 * 5 * 72

So, the prime factors of 735 are

3, 5, 7, 7