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1400 prime factorization

What is the prime factorization of 1400?

Find the prime factorization of 1400

1400 is divisible by 100:

1400 ÷ 100 = 14

Neither 100 nor 14 are prime numbers.

See Prime numbers 1 through 200.

The prime factorization of 14 is

14 = 2 * 7

The prime factorization of 100 is

100 =
2 * 2 * 5 * 5

See 100 prime factorization.

Therefore, the prime factorization of 1400 is

1400 =
2 * 2 * 2 * 5 * 5 * 7

The prime factorization of 1400 using exponents

1400 =
23 * 52 * 7

So, the prime factors of 1400 are

2, 2, 2, 5, 5, 7