Square of 1
2026-02-28 13:25 Diff
https://brightchamps.com/en-us/math/algebra/square-of-1

535 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 1.

What is the Square of 1

The square of a number is the product of the number itself. The square of 1 is 1 × 1. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1², where 1 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 1 is 1 × 1 = 1.

Square of 1 in exponential form: 1²

Square of 1 in arithmetic form: 1 × 1

How to Calculate the Value of Square of 1

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.

  1. By Multiplication Method
  2. Using a Formula
  3. 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 1.

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

Step 2: Multiplying the number by itself, we get, 1 × 1 = 1.

The square of 1 is 1.

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 1 So: 1² = 1 × 1 = 1

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 1.

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

Step 2: Multiply the number by itself using the multiplication button (×) That is 1 × 1

Step 3: Press the equal to button to find the answer Here, the square of 1 is 1.

Tips and Tricks for the Square of 1: 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.
  • 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 1

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 the square, where the area of the square is 1 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 1 cm²

So, the length = √1 = 1.

The length of each side = 1 cm

Explanation

The length of a square is 1 cm.

Because the area is 1 cm², the length is √1 = 1.

Well explained 👍

Problem 2

Tom is planning to paint his square wall of length 1 foot. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?

Okay, lets begin

The length of the wall = 1 foot

The cost to paint 1 square foot of wall = is 3 dollars.

To find the total cost to paint, we find the area of the wall,

Area of the wall = area of the square = a²

Here a = 1

Therefore, the area of the wall = 1² = 1 × 1 = 1.

The cost to paint the wall = 1 × 3 = 3.

The total cost = 3 dollars

Explanation

To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 3 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 1 meter.

Okay, lets begin

The area of the circle = 3.14 m²

Explanation

The area of a circle = πr²

Here, r = 1

Therefore, the area of the circle = π × 1² = 3.14 × 1 × 1 = 3.14 m².

Well explained 👍

Problem 4

The area of the square is 1 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 4 cm.

Explanation

The area of the square = a²

Here, the area is 1 cm²

The length of the side is √1 = 1

Perimeter of the square = 4a

Here, a = 1

Therefore, the perimeter = 4 × 1 = 4 cm.

Well explained 👍

Problem 5

Find the square of 2.

Okay, lets begin

The square of 2 is 4.

Explanation

The square of 2 is multiplying 2 by 2. So, the square = 2 × 2 = 4.

Well explained 👍

FAQs on Square of 1

1.What is the square of 1?

The square of 1 is 1, as 1 × 1 = 1.

2.What is the square root of 1?

The square root of 1 is ±1.

3.Is 1 a prime number?

4.What are the first few multiples of 1?

The first few multiples of 1 are 1, 2, 3, 4, 5, 6, 7, 8, and so on.

5.What is the square of 0?

Important Glossaries for Square of 1.

  • Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, etc.
  • Exponential form: A way of expressing a number as a base raised to a power. For example, 9², where 9 is the base and 2 is the exponent.
  • Square root: The square root is the inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
  • Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, etc.
  • Odd number: An integer that is not divisible by 2. For example, 1, 3, 5, 7, etc.

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.