Arithmetic & Basics
Basic

Square of a Number

A number multiplied by itself.

Formula

n2=n×nn^2 = n\times n

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Variables

nNumber

Example

7² = 49

How it works

Squaring a number means multiplying it by itself, so the result depends on both the size of the number and the fact that it is used twice. For example, 5² means 5 × 5, which equals 25. This idea comes up whenever you are finding the area of a square with side length n, because area = side × side.

When to use it

Use this formula when a problem asks for a number multiplied by itself, or when calculating the area of a square. It also appears often in geometry, algebra, and science when a value is compared with itself twice.

Worked example, step by step

Find 6² 6² = 6 × 6 6 × 6 = 36 So, 6² = 36

Common mistakes to avoid

  • Thinking 6² means 6 × 2 instead of 6 × 6
  • Adding the number to itself instead of multiplying it by itself
  • Forgetting that a negative number squared becomes positive, for example (-4)² = 16

Did You Know?

The sum of the first n odd numbers is always a perfect square: 1+3+5+7 = 16 = 4².

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026