Square of 167
2026-02-28 11:20 Diff
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Last updated on August 5, 2025

The product of multiplying an integer by itself is the square of a number. Squaring is used in programming, calculating areas, and more. In this topic, we will discuss the square of 167.

What is the Square of 167

The square of a number is the product of the number itself. The square of 167 is 167 × 167. The square of a number always ends in 0, 1, 4, 5, 6, or 9.

We write it in math as 167², where 167 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 167 is 167 × 167 = 27,889. Square of 167 in exponential form: 167² Square of 167 in arithmetic form: 167 × 167

How to Calculate the Value of Square of 167

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 167.

Step 1: Identify the number. Here, the number is 167.

Step 2: Multiplying the number by itself, we get, 167 × 167 = 27,889. The square of 167 is 27,889.

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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 167. So: 167² = 167 × 167 = 27,889

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 167.

Step 1: Enter the number in the calculator Enter 167 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 167 × 167.

Step 3: Press the equal to button to find the answer Here, the square of 167 is 27,889.

Tips and Tricks for the Square of 167 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 167

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.

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Problem 1

Find the length of the square, where the area of the square is 27,889 cm².

Okay, lets begin

The area of a square = a² So, the area of a square = 27,889 cm² So, the length = √27,889 = 167. The length of each side = 167 cm

Explanation

The length of a square is 167 cm.

Because the area is 27,889 cm², the length is √27,889 = 167.

Well explained 👍

Problem 2

Maria wants to carpet her square living room, which has a length of 167 feet. The cost to carpet a foot is 3 dollars. How much will it cost to carpet the entire room?

Okay, lets begin

The length of the room = 167 feet The cost to carpet 1 square foot of the room = 3 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 167 Therefore, the area of the room = 167² = 167 × 167 = 27,889. The cost to carpet the room = 27,889 × 3 = 83,667. The total cost = 83,667 dollars

Explanation

To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.

So, the total cost is 83,667 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 167 meters.

Okay, lets begin

The area of the circle = 87,565.71 m²

Explanation

The area of a circle = πr²

Here, r = 167

Therefore, the area of the circle = π × 167² = 3.14 × 167 × 167 = 87,565.71 m².

Well explained 👍

Problem 4

The area of the square is 28,089 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is

Explanation

The area of the square = a²

Here, the area is 28,089 cm²

The length of the side is √28,089 = 167

Perimeter of the square = 4a

Here, a = 167

Therefore, the perimeter = 4 × 167 = 668.

Well explained 👍

Problem 5

Find the square of 168.

Okay, lets begin

The square of 168 is 28,224

Explanation

The square of 168 is multiplying 168 by 168.

So, the square = 168 × 168 = 28,224

Well explained 👍

FAQs on Square of 167

1.What is the square of 167?

The square of 167 is 27,889, as 167 × 167 = 27,889.

2.What is the square root of 167?

The square root of 167 is ±12.92.

3.Is 167 a prime number?

Yes, 167 is a prime number; it is only divisible by 1 and 167.

4.What are the first few multiples of 167?

The first few multiples of 167 are 167, 334, 501, 668, 835, 1,002, 1,169, 1,336, and so on.

5.What is the square of 166?

The square of 166 is 27,556.

Important Glossaries for Square 167.

  • Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 11, 13, 167, etc.
     
  • 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.
     
  • Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, etc.
     
  • Multiplication method: A method to find the square of a number by multiplying the number by itself.

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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.