124 LearnersLast updated on May 26th, 2025
Square of 147
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 147.
What is the Square of 147
The square of a number is the product of the number itself. The square of 147 is 147 × 147. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 147², where 147 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 147 is 147 × 147 = 21,609. Square of 147 in exponential form: 147² Square of 147 in arithmetic form: 147 × 147
How to Calculate the Value of Square of 147
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 147
Step 1: Identify the number. Here, the number is 147
Step 2: Multiplying the number by itself, we get, 147 × 147 = 21,609. The square of 147 is 21,609.
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 147 So: 147² = 147 × 147 = 21,609
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 147.
Step 1: Enter the number in the calculator Enter 147 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 147 × 147
Step 3: Press the equal to button to find the answer Here, the square of 147 is 21,609.
Tips and Tricks for the Square of 147 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 147
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 147² with (14+7)² or (140+7)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 147
Problem 1
Find the length of the square, where the area of the square is 21,609 cm².
The area of a square = a² So, the area of a square = 21,609 cm² So, the length = √21,609 = 147. The length of each side = 147 cm
Explanation
The length of a square is 147 cm.
Because the area is 21,609 cm² the length is √21,609 = 147.
Problem 2
Emily wants to decorate a square garden of length 147 meters. The cost to decorate a meter is 10 dollars. Then how much will it cost to decorate the full garden?
The length of the garden = 147 meters The cost to decorate 1 square meter of the garden = 10 dollars. To find the total cost to decorate, we find the area of the garden, Area of the garden = area of the square = a² Here a = 147 Therefore, the area of the garden = 147² = 147 × 147 = 21,609. The cost to decorate the garden = 21,609 × 10 = 216,090. The total cost = 216,090 dollars
Explanation
To find the cost to decorate the garden, we multiply the area of the garden by cost to decorate per meter.
So, the total cost is 216,090 dollars.
Problem 3
Find the area of a circle whose radius is 147 meters.
The area of the circle = 67,985.49 m²
Explanation
The area of a circle = πr²
Here, r = 147
Therefore, the area of the circle = π × 147²
= 3.14 × 147 × 147
= 67,985.49 m².
Problem 4
The area of the square is 21,609 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 21,609 cm²
The length of the side is √21,609 = 147
Perimeter of the square = 4a
Here, a = 147
Therefore, the perimeter = 4 × 147 = 588.
Problem 5
Find the square of 150.
The square of 150 is 22,500
Explanation
The square of 150 is multiplying 150 by 150.
So, the square = 150 × 150 = 22,500
FAQs on Square of 147
1.What is the square of 147?
2.What is the square root of 147?
3.Is 147 a prime number?
4.What are the first few multiples of 147?
5.What is the square of 140?
Important Glossaries for Square 147.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: In mathematics, an exponent refers to the number of times a number (the base) is multiplied by itself. For example, in 147², 2 is the exponent.
- Area: The measure of the amount of space inside a two-dimensional boundary. For example, the area of a square with side length 'a' is a².
- Perimeter: The total length of the sides of a two-dimensional shape. For example, the perimeter of a square is 4 times the side length.
- Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 2, 3, 5, 7, etc.
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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.
