Square of 701
2026-02-28 13:50 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. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 701.

What is the Square of 701

The square of a number is the product of the number by itself. The square of 701 is 701 × 701. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 701², where 701 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 701 is 701 × 701 = 491,401.

Square of 701 in exponential form: 701²

Square of 701 in arithmetic form: 701 × 701

How to Calculate the Value of Square of 701

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 701.

Step 1: Identify the number. Here, the number is 701

Step 2: Multiplying the number by itself, we get, 701 × 701 = 491,401.

The square of 701 is 491,401.

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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 701

So: 701² = 701 × 701 = 491,401

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 701.

Step 1: Enter the number in the calculator Enter 701 in the calculator.

Step 2: Multiply the number by itself using the multiplication button(×) That is 701 × 701

Step 3: Press the equal to button to find the answer Here, the square of 701 is 491,401.

Tips and Tricks for the Square of 701

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 701

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 491,401 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 491,401 cm²

So, the length = √491,401 = 701.

The length of each side = 701 cm

Explanation

The length of a square is 701 cm. Because the area is 491,401 cm², the length is √491,401 = 701.

Well explained 👍

Problem 2

Samantha is planning to carpet her square living room with a length of 701 feet. The cost to carpet a foot is 5 dollars. How much will it cost to carpet the full room?

Okay, lets begin

The length of the room = 701 feet

The cost to carpet 1 square foot of the room = 5 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 = 701

Therefore, the area of the room = 701² = 701 × 701 = 491,401.

The cost to carpet the room = 491,401 × 5 = 2,457,005.

The total cost = 2,457,005 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 2,457,005 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 701 meters.

Okay, lets begin

The area of the circle = 1,544,245.14 m²

Explanation

The area of a circle = πr²

Here, r = 701

Therefore, the area of the circle = π × 701²

= 3.14 × 701 × 701

= 1,544,245.14 m².

Well explained 👍

Problem 4

The area of the square is 491,401 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 2,804 cm.

Explanation

The area of the square = a²

Here, the area is 491,401 cm²

The length of the side is √491,401 = 701

Perimeter of the square = 4a

Here, a = 701

Therefore, the perimeter = 4 × 701 = 2,804.

Well explained 👍

Problem 5

Find the square of 702.

Okay, lets begin

The square of 702 is 492,804.

Explanation

The square of 702 is multiplying 702 by 702. So, the square = 702 × 702 = 492,804.

Well explained 👍

FAQs on Square of 701

1.What is the square of 701?

The square of 701 is 491,401, as 701 × 701 = 491,401.

2.What is the square root of 701?

The square root of 701 is approximately ±26.48.

3.Is 701 a prime number?

Yes, 701 is a prime number; it is only divisible by 1 and 701.

4.What are the first few multiples of 701?

The first few multiples of 701 are 701, 1,402, 2,103, 2,804, 3,505, 4,206, 4,907, 5,608, and so on.

5.What is the square of 700?

The square of 700 is 490,000.

Important Glossaries for Square of 701.

  • 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.
  • 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, 16 is a perfect square because it is 4².
  • 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.