Factors of 402

All factors of 402

Here are all 8 factors of 402, listed from smallest to largest.

Factor pairs of 402

These 4 pairs of whole numbers each multiply to give 402.

Prime factorization of 402

Dividing 402 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 402 are 2, 3, 67. To factorize any other number, use the prime factorization calculator.

Factor tree of 402

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

Properties of 402

What makes 402 interesting

• 402 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.
• 402 is an abundant number: its proper factors sum to 414, which is 12 more than 402 itself.
• 402 has 3 distinct prime factors (2, 3, 67), which is why it has so many divisors.

How to find the factors of 402 yourself

Divide 402 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 √402 ≈ 20.05, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 67, 134, 201, 402. The factor calculator does this automatically for any number.