Math Doubts

What are Factor Pairs?

Fact-checked: February 20, 2026

Definition

Two non-zero integers whose product equals a given number are called a pair of factors.

Introduction

In arithmetic, understanding how numbers are formed and how they can be broken down is essential. One important concept is factor pairs, which help explain how a number is built through multiplication.

A factor pair consists of two numbers that multiply together to give a specific number. In other words, if two numbers are multiplied and their product equals a given number, those two numbers are called the factors of that number. When taken together as a set of two, they form a factor pair.

Example

$2 \times 5 \,=\, 10$

The numbers $2$ and $5$ are factors of $10$. Together, they form a factor pair of $10$.

Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.

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