104 LearnersLast updated on May 26th, 2025
Square of 639
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 639.
What is the Square of 639
The square of a number is the product of the number and itself. The square of 639 is 639 × 639. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 639², where 639 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 639 is 639 × 639 = 408,321.
Square of 639 in exponential form: 639²
Square of 639 in arithmetic form: 639 × 639
How to Calculate the Value of Square of 639
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 639
Step 1: Identify the number. Here, the number is 639
Step 2: Multiplying the number by itself, we get, 639 × 639 = 408,321.
The square of 639 is 408,321.
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 639 So: 639² = 639 × 639 = 408,321
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 639.
Step 1: Enter the number in the calculator Enter 639 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 639 × 639
Step 3: Press the equal to button to find the answer Here, the square of 639 is 408,321.
Tips and Tricks for the Square of 639
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 639
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
Calculation errors:
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.
Solved Examples on Square of 639
Problem 1
Find the length of the square, where the area of the square is 408,321 cm².
The area of a square = a²
So, the area of a square = 408,321 cm²
So, the length = √408,321 = 639.
The length of each side = 639 cm
Explanation
The length of a square is 639 cm.
Because the area is 408,321 cm² the length is √408,321 = 639.
Problem 2
Anna is planning to tile her square floor of length 639 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 639 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 = 639
Therefore, the area of the floor = 639² = 639 × 639 = 408,321.
The cost to tile the floor = 408,321 × 5 = 2,041,605.
The total cost = 2,041,605 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 2,041,605 dollars.
Problem 3
Find the area of a circle whose radius is 639 meters.
The area of the circle = 1,283,184.74 m²
Explanation
The area of a circle = πr²
Here, r = 639
Therefore, the area of the circle = π × 639² = 3.14 × 639 × 639 = 1,283,184.74 m².
Problem 4
The area of the square is 408,321 cm². Find the perimeter of the square.
The perimeter of the square is 2,556 cm.
Explanation
The area of the square = a²
Here, the area is 408,321 cm²
The length of the side is √408,321 = 639
Perimeter of the square = 4a
Here, a = 639
Therefore, the perimeter = 4 × 639 = 2,556 cm.
Problem 5
Find the square of 640.
The square of 640 is 409,600.
Explanation
The square of 640 is multiplying 640 by 640.
So, the square = 640 × 640 = 409,600.
FAQs on Square of 639
1.What is the square of 639?
2.What is the square root of 639?
3.Is 639 a prime number?
4.What are the first few multiples of 639?
5.What is the square of 638?
Important Glossaries for Square 639.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, etc.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: A mathematical notation indicating the number of times a quantity is multiplied by itself. For example, in 639², 2 is the exponent.
- Square root: A value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5.
- Multiplicative identity: A number which, when multiplied by any other number, results in the same number. For instance, 1 is the multiplicative identity.
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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.
