Factors of 442

All factors of 442

Here are all 8 factors of 442, listed from smallest to largest.

Factor pairs of 442

These 4 pairs of whole numbers each multiply to give 442.

Prime factorization of 442

Dividing 442 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 442 are 2, 13, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 442

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Properties of 442

What makes 442 interesting

• 442 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
• 442 is a deficient number: its proper factors sum to 314, which is 128 less than 442 itself.
• 442 has 3 distinct prime factors (2, 13, 17), which is why it has so many divisors.

How to find the factors of 442 yourself

Divide 442 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √442 ≈ 21.02, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 13, 17, 26, 34, 221, 442. The factor calculator does this automatically for any number.