Prime Factorization of 442

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Prime Factors of

What is the Prime Factorization of 442?

Answer

Prime Factors of 442:
2, 13, 17

442 = 2 × 13 × 17 · composite · 8 factors

Division ladder

4422
22113
1717
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

Second way — factor tree
44222211317

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Recalculate with different values ↑

Prime Factorization Table

NumberPrime Factors
4277, 61
42822 × 107
4293, 11, 13
4302, 5, 43
431431
43224 × 33
433433
4342, 7, 31
4353, 5, 29
43622 × 109
43719, 23
4382, 3, 73
439439
44023 × 5 × 11
44132 × 72
4422, 13, 17
443443
44422 × 3 × 37
4455, 89
4462, 223
4473, 149
44826 × 7
449449
4502 × 32 × 52
45111, 41
45222 × 113
4533, 151
4542, 227
4555, 7, 13
45623 × 3 × 19

FAQ

What is the Prime Factorization of 442?

Prime Factors of 442: 2, 13, 17

How many prime factors does 442 have?

Number 442 has 3 prime factors, all different.

How can you check the prime factorization of 442?

Multiply the factors back together: 2 × 13 × 17 = 442. Every factor is prime, so nothing splits any further and this decomposition is the only one that exists.

See Also