120 LearnersLast updated on May 26th, 2025
Square of 146
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 146.
What is the Square of 146
The square of a number is the product of the number with itself. The square of 146 is 146 × 146. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 146², where 146 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 146 is 146 × 146 = 21,316. Square of 146 in exponential form: 146² Square of 146 in arithmetic form: 146 × 146
How to Calculate the Value of Square of 146
The square of a number is found by multiplying the number by itself. Here 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 146.
Step 1: Identify the number. Here, the number is 146.
Step 2: Multiply the number by itself, we get, 146 × 146 = 21,316. The square of 146 is 21,316.
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 146 So: 146² = 146 × 146 = 21,316
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 146.
Step 1: Enter the number in the calculator Enter 146 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 146 × 146
Step 3: Press the equals button to find the answer Here, the square of 146 is 21,316.
Tips and Tricks for the Square of 146 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 146
Mistakes are common among kids when doing math, especially when it is about 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 steps or swap digits. To avoid this, students should double-check their answers. 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 when using the formula.
The formula to find the square of a number is a². Instead, students may mistakenly use (14 + 6)² or (140 + 6)². So students should check and use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of squares and square roots can lead to confusion. To avoid this, students should understand 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 with parentheses.
Ignoring parentheses when finding the square of a number can lead to errors. Students should understand parentheses and do operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Students should practice regularly to avoid errors.
Solved Examples on Square of 146
Problem 1
Find the length of the square, where the area of the square is 21,316 cm².
The area of a square = a² So, the area of a square = 21,316 cm² So, the length = √21,316 = 146. The length of each side = 146 cm
Explanation
The length of a square is 146 cm.
Because the area is 21,316 cm², the length is √21,316 = 146.
Problem 2
Alex is planning to paint his square wall of length 146 feet. The cost to paint a foot is 3 dollars. How much will it cost to paint the full wall?
The length of the wall = 146 feet The cost to paint 1 square foot of wall = 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 = 146 Therefore, the area of the wall = 146² = 146 × 146 = 21,316. The cost to paint the wall = 21,316 × 3 = 63,948. The total cost = 63,948 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 63,948 dollars.
Problem 3
Find the area of a circle whose radius is 146 meters.
The area of the circle = 66,865.84 m²
Explanation
The area of a circle = πr²
Here, r = 146
Therefore, the area of the circle = π × 146²
= 3.14 × 146 × 146
= 66,865.84 m².
Problem 4
The area of the square is 21,316 cm². Find the perimeter of the square.
The perimeter of the square is 584 cm
Explanation
The area of the square = a²
Here, the area is 21,316 cm²
The length of the side is √21,316 = 146
Perimeter of the square = 4a
Here, a = 146
Therefore, the perimeter = 4 × 146 = 584.
Problem 5
Find the square of 147.
The square of 147 is 21,609
Explanation
The square of 147 is found by multiplying 147 by 147.
So, the square = 147 × 147 = 21,609
FAQs on Square of 146
1.What is the square of 146?
2.What is the square root of 146?
3.Is 146 a prime number?
4.What are the first few multiples of 146?
5.What is the square of 145?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Square of 146?
8.How do technology and digital tools in Thailand support learning Algebra and Square of 146?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Square 146
- Perfect Square: A number that is the square of an integer. For example, 146² = 21,316.
- Square: The product of a number multiplied by itself.
- Square Root: The inverse operation of squaring a number.
- Multiplication Method: A method of finding the square by multiplying the number by itself.
- Perfect Number: A number that is equal to the sum of its proper divisors.
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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.
