Factors of 998

All factors of 998

Here are all 4 factors of 998, listed from smallest to largest.

Factor pairs of 998

These 2 pairs of whole numbers each multiply to give 998.

Prime factorization of 998

Dividing 998 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 998 are 2, 499. To factorize any other number, use the prime factorization calculator.

Factor tree of 998

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

Properties of 998

What makes 998 interesting

• 998 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
• 998 is a deficient number: its proper factors sum to 502, which is 496 less than 998 itself.

How to find the factors of 998 yourself

Divide 998 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 √998 ≈ 31.59, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 499, 998. The factor calculator does this automatically for any number.