Math

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Perfect Square Calculator.

Check whether an integer is a perfect square.

On-device calculationNo signup
01

Set your values

Results update as you type.

Perfect square: yes

Perfect square

yes
Square root: 12

Square root

0.000000
Nearest square: 144

Nearest square

0.000000

Results update automatically as you type.

Use Cases

Math homework and learning

Quickly verify if numbers are perfect squares while studying algebra, geometry, or number theory. Helps reinforce the concept of squares and square roots.

Example: Check if 144 is a perfect square before solving a geometry problem.

Simplifying radicals

When simplifying square roots, knowing if a number is a perfect square helps you simplify radicals completely. Use this calculator to identify perfect square factors.

Example: Determine if 50 is a perfect square to simplify √50.

Frequently Asked Questions

What is a perfect square?
A perfect square is an integer that is the square of another integer. For example, 16 is a perfect square because 4 × 4 = 16. This calculator checks if the integer you enter is such a number.
How does the Perfect Square Calculator work?
You enter an integer in the 'Integer' field. The calculator determines if the square root of that number is an integer. If it is, the number is a perfect square; otherwise, it is not.
Can I check negative numbers?
Yes, you can enter negative integers. However, negative numbers are not perfect squares because the square of any real number is non-negative. The calculator will indicate that they are not perfect squares.

Tips & Common Mistakes

Tips

  • Remember that 0 is a perfect square (0 × 0 = 0).
  • Perfect squares end in 0, 1, 4, 5, 6, or 9 in the last digit, but this is not a guarantee.
  • Use this calculator to check your work when factoring or solving quadratic equations.
  • For large numbers, the calculator can quickly tell you if the square root is an integer.

Common Mistakes to Avoid

  • Assuming a number is a perfect square just because it ends in 4 or 9. For example, 14 is not a perfect square.
  • Forgetting that negative numbers cannot be perfect squares.
  • Confusing perfect squares with square roots. A perfect square is the number itself, not the root.

Last updated: August 13, 2026