Square of 164
2026-02-28 01:24 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 164.

What is the Square of 164

The square of a number is the product of the number itself. The square of 164 is 164 × 164. The square of a number always ends in 0, 1, 4, 5, 6, or 9.

We write it in math as 164², where 164 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 164 is 164 × 164 = 26,896. Square of 164 in exponential form: 164² Square of 164 in arithmetic form: 164 × 164

How to Calculate the Value of Square of 164

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 164.

Step 1: Identify the number. Here, the number is 164

Step 2: Multiplying the number by itself, we get, 164 × 164 = 26,896. The square of 164 is 26,896.

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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 164 So: 164² = 164 × 164 = 26,896

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 164.

Step 1: Enter the number in the calculator Enter 164 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 164 × 164

Step 3: Press the equal to button to find the answer Here, the square of 164 is 26,896.

Tips and Tricks for the Square of 164 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 164

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 26,896 cm².

Okay, lets begin

The area of a square = a² So, the area of a square = 26,896 cm² So, the length = √26,896 = 164. The length of each side = 164 cm

Explanation

The length of a square is 164 cm.

Because the area is 26,896 cm² the length is √26,896 = 164.

Well explained 👍

Problem 2

Lisa is planning to tile her square kitchen floor of length 164 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?

Okay, lets begin

The length of the floor = 164 feet The cost to tile 1 square foot of floor = 5 dollars. To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = a² Here a = 164 Therefore, the area of the floor = 164² = 164 × 164 = 26,896. The cost to tile the floor = 26,896 × 5 = 134,480. The total cost = 134,480 dollars

Explanation

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

So, the total cost is 134,480 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 164 meters.

Okay, lets begin

The area of the circle = 84,621.76 m²

Explanation

The area of a circle = πr²

Here, r = 164

Therefore, the area of the circle = π × 164²

= 3.14 × 164 × 164

= 84,621.76 m².

Well explained 👍

Problem 4

The area of the square is 26,896 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 656 cm.

Explanation

The area of the square = a²

Here, the area is 26,896 cm²

The length of the side is √26,896 = 164

Perimeter of the square = 4a

Here, a = 164

Therefore, the perimeter = 4 × 164 = 656.

Well explained 👍

Problem 5

Find the square of 165.

Okay, lets begin

The square of 165 is 27,225.

Explanation

The square of 165 is multiplying 165 by 165.

So, the square = 165 × 165 = 27,225

Well explained 👍

FAQs on Square of 164

1.What is the square of 164?

The square of 164 is 26,896, as 164 × 164 = 26,896.

2.What is the square root of 164?

The square root of 164 is approximately ±12.806.

3.Is 164 a prime number?

No, 164 is not a prime number; it is divisible by 1, 2, 4, 41, 82, and 164.

4.What are the first few multiples of 164?

The first few multiples of 164 are 164, 328, 492, 656, 820, 984, 1,148, and so on.

5.What is the square of 163?

The square of 163 is 26,569.

Important Glossaries for Square of 164.

  • Even number: Any integer that is divisible by 2 is called an even number. For example, 2, 4, 6, 8, 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.
     
  • Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
     
  • 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.
     
  • Perimeter: The total length of the boundary of a two-dimensional shape. For example, the perimeter of a square with side length 'a' is 4a.

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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.