Factors of 462

All factors of 462

Here are all 16 factors of 462, listed from smallest to largest.

Factor pairs of 462

These 8 pairs of whole numbers each multiply to give 462.

Prime factorization of 462

Dividing 462 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 462 are 2, 3, 7, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 462

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

Properties of 462

What makes 462 interesting

• 462 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
• 462 is an abundant number: its proper factors sum to 690, which is 228 more than 462 itself.
• 462 has 4 distinct prime factors (2, 3, 7, 11), which is why it has so many divisors.

How to find the factors of 462 yourself

Divide 462 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 √462 ≈ 21.49, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. The factor calculator does this automatically for any number.