Square of 172
2026-02-28 19:12 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. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 172.

What is the Square of 172

The square of a number is the product of the number itself. The square of 172 is 172 × 172. The square of a number always ends in 0, 1, 4, 5, 6, or 9.

We write it in math as 172², where 172 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 172 is 172 × 172 = 29584. Square of 172 in exponential form: 172² Square of 172 in arithmetic form: 172 × 172

How to Calculate the Value of Square of 172

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 172.

Step 1: Identify the number. Here, the number is 172.

Step 2: Multiplying the number by itself, we get, 172 × 172 = 29584. The square of 172 is 29584.

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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 172. So: 172² = 172 × 172 = 29584

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 172.

Step 1: Enter the number in the calculator Enter 172 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×). That is 172 × 172.

Step 3: Press the equal to button to find the answer Here, the square of 172 is 29584.

Tips and Tricks for the Square of 172 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 172

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 side length of a square, where the area of the square is 29584 cm².

Okay, lets begin

The area of a square = a² So, the area of the square = 29584 cm² So, the side length = √29584 = 172. The length of each side = 172 cm

Explanation

The length of a square is 172 cm because the area is 29584 cm²

so the length is √29584 = 172.

Well explained 👍

Problem 2

Sarah is planning to tile her square patio of side length 172 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire patio?

Okay, lets begin

The side length of the patio = 172 feet The cost to tile 1 square foot of the patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 172 Therefore, the area of the patio = 172² = 172 × 172 = 29584. The cost to tile the patio = 29584 × 5 = 147920. The total cost = 147920 dollars.

Explanation

To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot.

So, the total cost is 147920 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 172 meters.

Okay, lets begin

The area of the circle = 92948.64 m²

Explanation

The area of a circle = πr²

Here, r = 172

Therefore, the area of the circle = π × 172²

≈ 3.14 × 172 × 172

= 92948.64 m².

Well explained 👍

Problem 4

The area of the square is 29584 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 688 cm.

Explanation

The area of the square = a²

Here, the area is 29584 cm²

The side length is √29584 = 172.

Perimeter of the square = 4a

Here, a = 172

Therefore, the perimeter = 4 × 172 = 688.

Well explained 👍

Problem 5

Find the square of 173.

Okay, lets begin

The square of 173 is 29929.

Explanation

The square of 173 is found by multiplying 173 by 173.

So, the square = 173 × 173 = 29929.

Well explained 👍

FAQs on Square of 172

1.What is the square of 172?

The square of 172 is 29584, as 172 × 172 = 29584.

2.What is the square root of 172?

The square root of 172 is approximately ±13.11.

3.Is 172 a prime number?

No, 172 is not a prime number; it is divisible by 1, 2, 4, 43, 86, and 172.

4.What are the first few multiples of 172?

The first few multiples of 172 are 172, 344, 516, 688, 860, 1032, 1204, 1376, and so on.

5.What is the square of 171?

The square of 171 is 29241.

Important Glossaries for Square of 172

  • Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.
     
  • Exponential form: A way of writing a number as a base raised to a power, e.g., 9² where 9 is the base and 2 is the exponent.
     
  • Square root: 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, 144 is a perfect square because it is 12².
     
  • Even number: A number that is divisible by 2. For example, 2, 4, 6, 8, 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.