## TOOL: PERFECT SQUARE CALCULATOR

#### PERFECT SQUARE CALCULATOR

Enter a natural number.

RESULT

144 is a perfect square.

DESCRIPTIONS

144 is a perfect square because it can be written as the product of an integer with itself.

144 = 12 × 12

We can check whether a number is perfect square or not by looking at the exponents in its prime factorization.

144 = 24 × 32

A number is a perfect square if the exponents of all prime factors are even. Because 4 and 2 are even numbers, 144 is a perfect square.

OTHER INFORMATION

👉 Square root of 144 is equal to 12

$\mathbf{\sqrt{\color{#3a5998}144}\color{black}=\color{chocolate}12}$

👉 144 is not a perfect cube.

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## INFORMATION

### PERFECT SQUARES

Perfect squares are numbers that can be written as the multiplication of an integer by itself. An integer raised to the power of two equals a perfect square.

### WHAT IS PERFECT SQUARE CALCULATOR?

Perfect square calculator

• Checks whether the entered number is a perfect square or not,
• Describes all solution steps,
• Draws the factors tree,
• Finds the prime factorization,
• If the number is not a perfect square, finds the closest square and

### HOW TO USE THE PERFECT SQUARE CALCULATOR?

You can use the perfect square calculator in two ways.

• #### USER INPUTS

You can enter a number to the input box and click on the "CHECK" button. The result and explanations appaer below the calculator

• #### RANDOM INPUTS

You can click on the DIE ICON next to the input box. If you use this property, a random number is generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

• #### CLEARING THE INPUT BOX

To check another number you can clear the input box by clicking on the CLEAR button under the input box.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.