Square of 125
2026-02-21 20:24 Diff
https://brightchamps.com/en-us/math/algebra/square-of-125

427 Learners

Last updated on August 5, 2025

The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 125.

What is the Square of 125

The square of a number is the product of the number with itself. The square of 125 is 125 × 125. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 125², where 125 is the base and 2 is the exponent.

The square of a positive and a negative number is always positive.

For example, 5² = 25; -5² = 25.

The square of 125 is 125 × 125 = 15625.

Square of 125 in exponential form: 125²

Square of 125 in arithmetic form: 125 × 125

How to Calculate the Value of Square of 125

The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.

  • By Multiplication Method
     
  • Using a Formula
     
  • Using a Calculator

By the Multiplication Method

In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 125.

Step 1: Identify the number. Here, the number is 125.

Step 2: Multiplying the number by itself, we get, 125 × 125 = 15625. The square of 125 is 15625.

Explore Our Programs

Using a Formula (a²)

In this method, the formula a² is used to find the square of the number, where 'a' is the number.

Step 1: Understanding the equation Square of a number = a² a² = a × a

Step 2: Identifying the number and substituting the value in the equation. Here, ‘a’ is 125. So: 125² = 125 × 125 = 15625

By Using a Calculator

Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 125.

Step 1: Enter the number in the calculator Enter 125 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 125 × 125

Step 3: Press the equal to button to find the answer Here, the square of 125 is 15625.

Tips and Tricks for the Square of 125 Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students. The square of an even number is always an even number. For example, 6² = 36. The square of an odd number is always an odd number. For example, 5² = 25. The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9. If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2. The square root of a perfect square is always a whole number. For example, √144 = 12.

Common Mistakes to Avoid When Calculating the Square of 125

Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.

Download Worksheets

Problem 1

Find the length of a square, where the area of the square is 15625 cm².

Okay, lets begin

The area of a square = a² So, the area of a square = 15625 cm² So, the length = √15625 = 125. The length of each side = 125 cm

Explanation

The length of a square is 125 cm.

Because the area is 15625 cm², the length is √15625 = 125.

Well explained 👍

Problem 2

Sarah is planning to tile her square courtyard of length 125 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full courtyard?

Okay, lets begin

The length of the courtyard = 125 feet The cost to tile 1 square foot of the courtyard = 5 dollars. To find the total cost to tile, we find the area of the courtyard, Area of the courtyard = area of the square = a² Here a = 125 Therefore, the area of the courtyard = 125² = 125 × 125 = 15625. The cost to tile the courtyard = 15625 × 5 = 78125. The total cost = 78125 dollars

Explanation

To find the cost to tile the courtyard, we multiply the area of the courtyard by the cost to tile per foot.

So, the total cost is 78125 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 125 meters.

Okay, lets begin

The area of the circle = 49087.50 m²

Explanation

The area of a circle = πr²

Here, r = 125

Therefore, the area of the circle = π × 125²

= 3.14 × 125 × 125

= 49087.50 m².

Well explained 👍

Problem 4

The area of the square is 15625 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 500 cm.

Explanation

The area of the square = a²

Here, the area is 15625 cm²

The length of the side is √15625 = 125

Perimeter of the square = 4a

Here, a = 125

Therefore, the perimeter = 4 × 125 = 500.

Well explained 👍

Problem 5

Find the square of 126.

Okay, lets begin

The square of 126 is 15876

Explanation

The square of 126 is multiplying 126 by 126.

So, the square = 126 × 126 = 15876

Well explained 👍

FAQs on Square of 125

1.What is the square of 125?

The square of 125 is 15625, as 125 × 125 = 15625.

2.What is the square root of 125?

The square root of 125 is approximately ±11.18.

3.Is 125 a prime number?

No, 125 is not a prime number; it is divisible by 1, 5, 25, and 125.

4.What are the first few multiples of 125?

The first few multiples of 125 are 125, 250, 375, 500, 625, 750, 875, 1000, and so on.

5.What is the square of 124?

The square of 124 is 15376.

Important Glossaries for Square 125.

  • Perfect square: A number that is the square of an integer. For example, 36 is a perfect square since it is 6².
     
  • Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
     
  • Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
     
  • Prime number: A number greater than 1 that is only divisible by 1 and itself.
     
  • Area: The amount of space inside the boundary of a flat object, such as a square or a circle.

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.