In this article, we’ll specify perfect squares, administer a list of the an initial 25 perfect squares (and the integers the make them up), and also teach you how to phone call if a number is a perfect square.

You are watching: How to check if a number is a perfect square

What Is a Perfect Square?

A perfect square is a number that can be expressed together the product of 2 equal integers.

What does the mean?

Basically, a perfect square is what you acquire when you multiply 2 equal integers by each other.

For instance:

$$5 * 5 = 25$$

25 is a perfect square due to the fact that you’re multiplying 2 equal integers (5 and 5) by each other.

You can additionally express $5 * 5$ as $5^2$. That’s where you obtain the ax “perfect square”

List the Perfect Squares

Here’s a list of the an initial 25 perfect squares. A hint: if you want to develop a perfect square, simply square an integer!

SquareIntegers
1$1 * 1$
4$2 * 2$
9$3 * 3$
16$4 * 4$
25$5 * 5$
36$6 * 6$
49$7 * 7$
64$8 * 8$
81$9 * 9$
100$10 * 10$
121$11 * 11$
144$12 * 12$
169$13 * 13$
196$14 * 14$
225$15 * 15$
256$16 * 16$
289$17 * 17$
324$18 * 18$
361$19 * 19$
400$20 * 20$
441$21 * 21$
484$22 * 22$
529$23 * 23$
576$24 * 24$
625$25 * 25$

How come Tell If a Number Is a Perfect Square

You deserve to tell if a number is a perfect square in a pair of different ways.

First that all, if you develop a square by multiplying 2 equal integers by each other, climate the product is a perfect square.

So, $1 * 1$ is a perfect square. So is $10 * 10$ and also $1,000 * 1,000$.

You can likewise tell if a number is a perfect square by detect its square roots. recognize the square root is the station (opposite) the squaring a number.

If you uncover the square source of a number and it’s a totality integer, the tells you that the number is a perfect square.

For instance, the square root of 25 is 5. The square root of 26 is not a whole integer. So, 26 is not a perfect square.

*

Key Takeaways: knowledge Perfect Squares

A perfect square is a number that have the right to be expressed as the product of two equal integers.

You can tell if a number by detect its square root and seeing if the square root is a entirety integer.

What"s Next?

Getting prepared to take the ACT? We have a perform of31 formulas you must know to conquer the ACT.

Taking the satellite instead?Here’s a list of ours favorite satellite Math prep books that will certainly help set you on the path to success.

See more: Jung Joo-Ri Kim Soo-Mi - Kim Soo Mi ~ Detailed Biography With

Looking come brush up on your an essential algebra skills?A great place to begin is mastering equipment of equations.