Square 2 to 25
2026-02-28 06:05 Diff
https://brightchamps.com/en-us/math/algebra/significant-figures-calculator

215 Learners

Last updated on August 5, 2025

A square of a number is the multiplication of a number ‘N’ by itself. Square numbers are used practically in situations like finding the area of a garden or measuring distance on maps. In this topic, we are going to learn about the square numbers from 2 to 25.

Square 2 to 25

Numbers 2 to 25, when squared, give values ranging from 4 to 625. Squaring numbers can be useful for solving complex math problems. For example, squaring the number 5 implies multiplying the number twice. So that means 5 × 5 = 25. So let us look into the square numbers from 2 to 25.

Square Numbers 2 to 25 Chart

Learning square numbers helps us find the area of two-dimensional shapes like squares. Let’s take a look at the chart of square numbers 2 to 25 given below. Understanding these values helps in various math concepts like measuring areas and so on. Let’s dive into the chart of squares.

List of All Squares 2 to 25

We will be listing the squares of numbers from 2 to 25. Squares are an interesting part of math, that help us solve various problems easily. Let’s take a look at the complete list of squares from 2 to 25. Square 2 to 25 — Even Numbers Square numbers that are divisible by 2 are even. The square of any even number will result in an even number. Let’s look at the even numbers in the squares of 2 to 25. Square 2 to 25 — Odd Numbers When you multiply an odd number by itself, the result is also an odd number. When we square an odd number, the result will always be odd. Let’s look at the odd numbers in the squares of 2 to 25. How to Calculate Squares From 2 to 25 The square of a number is written as \( N^2 \), which means multiplying the number N by itself. We use the formula given below to find the square of any number: \[ N^2 = N \times N \] Let’s explore two methods to calculate squares: the multiplication method and the expansion method: Multiplication method: In this method, we multiply the given number by itself to find the square of the number. Take the given number, for example, let’s take 4 as N. Multiply the number by itself: \( N^2 = 4 \times 4 = 16 \) So, the square of 4 is 16. You can repeat the process for all numbers from 2 to 25. Expansion method: In this method, we use algebraic formulas to break down the numbers for calculating easily. We use this method for larger numbers. Using the formula: \((a+b)^2 = a^2 + 2ab + b^2\) For example: Find the square of 16. \(16^2 = (10+6)^2\) To expand this, we use the algebraic identity \((a+b)^2 = a^2 + 2ab + b^2\). Here, \(a = 10\) and \(b = 6\). \(= 10^2 + 2 \times 10 \times 6 + 6^2\) \(10^2 = 100; 2 \times 10 \times 6 = 120; 6^2 = 36\) Now, adding them together: \(100 + 120 + 36 = 256\) So, the square of 16 is 256.

Explore Our Programs

Rules for Calculating Squares 2 to 25

When learning how to calculate squares, there are a few rules that we need to follow. These rules will help guide you through the process of calculating squares. Rule 1: Multiplication Rule The basic rule of squaring a number is to multiply the number by itself. We use the formula given below to find the square of numbers: \[ N^2 = N \times N \] For example, \(8^2 = 8 \times 8 = 64\). Rule 2: Addition of progressive squares In the addition of progressive squares, we calculate square numbers by adding consecutive odd numbers. For example, \[ 2^2 = 4 \rightarrow 1 + 3 = 4 \] \[ 3^2 = 9 \rightarrow 1 + 3 + 5 = 9 \] \[ 4^2 = 16 \rightarrow 1 + 3 + 5 + 7 = 16 \] \[ 5^2 = 25 \rightarrow 1 + 3 + 5 + 7 + 9 = 25 \] Rule 3: Estimation for large numbers For larger numbers, round them to the nearest simple number, then adjust the value. For example, to square 24, round it to 25 and adjust: \(25^2 = 625\), then subtract the correction factor \(625 - (2 \times 25 \times 1) + 1^2\) \(625 - 50 + 1 = 576\) Thus, \(24^2 = 576\).

Tips and Tricks for Squares 2 to 25

To make learning squares easier for kids, here are a few tips and tricks that can help you quickly find the squares of numbers from 2 to 25. These tricks will help you understand squares easily. Square numbers follow a pattern in unit place Square numbers end with these numbers in the one digit: 0, 1, 4, 5, 6, or 9. If the last digit of a number is 2, 3, 7, or 8, it cannot be a square number. For example, 25 is a square number that ends with 5, while 36 is also a square number that ends with 6. Even or Odd property The square of an even number will always be even, and the square of an odd number will always be odd. For example, the square of 4 is 16, which is even. And the square of 3 is 9, which is odd. Adding odd numbers Square numbers can be calculated by adding the odd numbers one after the other. For example, \[ 2^2 = 4 \rightarrow 1 + 3 = 4 \] \[ 3^2 = 9 \rightarrow 1 + 3 + 5 = 9 \] \[ 4^2 = 16 \rightarrow 1 + 3 + 5 + 7 = 16 \] \[ 5^2 = 25 \rightarrow 1 + 3 + 5 + 7 + 9 = 25 \]

Common Mistakes and How to Avoid Them in Squares 2 to 25

When learning about squares, it’s natural to make some mistakes along the way. Let’s explore some common mistakes children often make and how you can avoid them. This will help you get a better understanding of squares.

Download Worksheets

Problem 1

Find the square of 15.

Okay, lets begin

The square of 15 is 225. \(15^2 = 15 \times 15 = 225\)

Explanation

We can break down \(15 \times 15\) as: \(15 \times 15 = (10 + 5) \times (10 + 5)\) To expand this, we use the algebraic identity \((a + b)^2 = a^2 + 2ab + b^2\). Here, \(a = 10\) and \(b = 5\). \(= 10^2 + 2 \times 10 \times 5 + 5^2\) \(10^2 = 100; 2 \times 10 \times 5 = 100; 5^2 = 25\) Now, adding them together: \(100 + 100 + 25 = 225\) So, the square of 15 is 225.

Well explained 👍

Problem 2

Find the square of 22.

Okay, lets begin

The square of 22 is 484. \(22^2 = 22 \times 22 = 484\)

Explanation

We can break down \(22 \times 22\) as: \(22 \times 22 = (20 + 2) \times (20 + 2)\) To expand this, we use the algebraic identity \((a + b)^2 = a^2 + 2ab + b^2\). Here, \(a = 20\) and \(b = 2\). \(= 20^2 + 2 \times 20 \times 2 + 2^2\) \(20^2 = 400; 2 \times 20 \times 2 = 80; 2^2 = 4\) Now, adding them together: \(400 + 80 + 4 = 484\) So, the square of 22 is 484.

Well explained 👍

Problem 3

Find the square of 25.

Okay, lets begin

The square of 25 is 625. \(25^2 = 25 \times 25 = 625\)

Explanation

Since \(25 \times 25\) is a simple multiplication, we directly get the answer: \(25 \times 25 = 625\). Thus, the square of 25 is 625.

Well explained 👍

Problem 4

Observe the pattern in square numbers: \(2^2, 3^2, 4^2, \ldots, 10^2\). Find the pattern in their differences.

Okay, lets begin

The differences follow an odd-number sequence: 5, 7, 9, 11, … This shows that square numbers increase by consecutive odd numbers.

Explanation

Calculating the squares: 4, 9, 16, 25, 36, 49, 64, 81, 100 Now, finding the differences: \(9-4 = 5\), \(16-9 = 7\), \(25-16 = 9\), \(36-25 = 11\), …

Well explained 👍

Problem 5

Is 20 a perfect square?

Okay, lets begin

20 is not a perfect square.

Explanation

Perfect squares are numbers that result from squaring whole numbers. If a number lies between two square values, it is not a perfect square. Find the closest squares: \(4^2 = 16\), \(5^2 = 25\) Since 20 is not equal to any square of a whole number, it is not a perfect square.

Well explained 👍

FAQs on Squares 2 to 25

1.What are the odd perfect square numbers up to 25?

The perfect squares up to the number 25 are 4, 9, 16, and 25. In this list, the odd perfect square numbers are 9 and 25.

2.Are all square numbers positive?

Yes, squaring any number always results in a positive value.

3.What is the sum of the perfect squares up to the number 25?

The sum of the squares up to 25 is \(4 + 9 + 16 + 25 = 54\).

4.What is the square of 18?

324 is the square of the number 18. Squaring a number means 18 is multiplied by itself.

5.Are all prime numbers perfect squares?

No, prime numbers cannot be perfect squares because they only have two factors, 1 and themselves.

Important Glossaries for Squares 2 to 25

Odd square number: A square number that we get from squaring an odd number. For example, \(9^2\) is 81, which is odd. Even square number: A square number that we get from squaring an even number. For example, \(4^2\) is 16, which is even. Perfect square: A number that can be expressed as a product of a number when multiplied by itself. For example, 16 is a perfect square as \(4 \times 4 = 16\). Multiplication method: A method to find the square of a number by multiplying it by itself. For example, \(5^2 = 5 \times 5 = 25\). Expansion method: A method using algebraic identities to calculate squares of numbers. For example, \((a+b)^2 = a^2 + 2ab + b^2\).

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.