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Last updated on May 29th, 2025

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Square of 317

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The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 317.

Square of 317 for Indian Students
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What is the Square of 317

The square of a number is the product of the number itself.

 

The square of 317 is 317 × 317.

 

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

 

We write it in math as 317², where 317 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 317 is 317 × 317 = 100489.

 

Square of 317 in exponential form: 317²

 

Square of 317 in arithmetic form: 317 × 317

 

square of 317

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How to Calculate the Value of Square of 317

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 (a2)
     
  • Using a Calculator
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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 317.

 

Step 1: Identify the number. Here, the number is 317.

 

Step 2: Multiplying the number by itself, we get, 317 × 317 = 100489.

 

The square of 317 is 100489.

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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 317.

So: 317² = 317 × 317 = 100489.

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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 317.

 

Step 1: Enter the number in the calculator. Enter 317 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 317 × 317

 

Step 3: Press the equal button to find the answer. Here, the square of 317 is 100489.

 

Tips and Tricks for the Square of 317

 

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.
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Common Mistakes to Avoid When Calculating the Square of 317

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.

Mistake 1

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Calculation errors:

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Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. 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.

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Solved Examples on Square of 317

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Problem 1

Find the length of the square, where the area of the square is 100489 cm².

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The area of a square = a²

 

So, the area of a square = 100489 cm²

 

So, the length = √100489 = 317.

 

The length of each side = 317 cm

Explanation

The length of a square is 317 cm.

 

Because the area is 100489 cm², the length is √100489 = 317.

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Problem 2

Sarah is planning to tile her square kitchen floor with a length of 317 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?

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The length of the floor = 317 feet

 

The cost to tile 1 square foot of the 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 = 317

 

Therefore, the area of the floor = 317² = 317 × 317 = 100489.

 

The cost to tile the floor = 100489 × 5 = 502445.

 

The total cost = 502445 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 502445 dollars.

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Problem 3

Find the area of a circle whose radius is 317 meters.

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The area of the circle = 315,217.58 m²

Explanation

The area of a circle = πr²

 

Here, r = 317

 

Therefore, the area of the circle = π × 317² = 3.14 × 317 × 317 = 315,217.58 m².

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Problem 4

The area of the square is 100489 cm². Find the perimeter of the square.

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The perimeter of the square is

Explanation

The area of the square = a²

 

Here, the area is 100489 cm²

 

The length of the side is √100489 = 317

 

Perimeter of the square = 4a

 

Here, a = 317

 

Therefore, the perimeter = 4 × 317 = 1268.

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Problem 5

Find the square of 318.

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The square of 318 is 101124

Explanation

The square of 318 is multiplying 318 by 318.

 

So, the square = 318 × 318 = 101124

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FAQs on Square of 317

1.What is the square of 317?

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2.What is the square root of 317?

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3.Is 317 a prime number?

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4.What are the first few multiples of 317?

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5.What is the square of 316?

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6.How does learning Algebra help students in India make better decisions in daily life?

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7.How can cultural or local activities in India support learning Algebra topics such as Square of 317?

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8.How do technology and digital tools in India support learning Algebra and Square of 317?

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9.Does learning Algebra support future career opportunities for students in India?

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Important Glossaries for Square 317.

  • Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 317.

 

  • Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 317² where 317 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, 100489 is a perfect square because it is 317².

 

  • Multiplication method: A method used to find the square of a number by multiplying the number by itself.
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About BrightChamps in India

At BrightChamps, we believe algebra is more than just numbers—it’s a key to countless opportunities! Our purpose is to help children throughout India master vital math skills, such as today’s focus on the Square of 317 with special emphasis on understanding squares—in an engaging, fun, and easy-to-follow manner. Whether your child is calculating how fast a train passes by, tracking scores in a Cricket match, or managing pocket money to buy the latest gadgets, a solid understanding of algebra gives them the confidence to tackle everyday tasks. Our interactive lessons make learning both enjoyable and simple. Because children in India learn in diverse ways, we tailor our teaching methods to each child’s style. From the bustling markets of Mumbai to Delhi’s vibrant streets, BrightChamps makes math relevant and exciting throughout India. Let’s turn squares into a joyful part of every child’s math journey!
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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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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