107 LearnersLast updated on May 26th, 2025
Square of 646
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 the topic, we will discuss the square of 646.
What is the Square of 646
The square of a number is the product of the number itself. The square of 646 is 646 × 646. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 646², where 646 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 646 is 646 × 646 = 417,316.
Square of 646 in exponential form: 646²
Square of 646 in arithmetic form: 646 × 646
How to Calculate the Value of Square of 646
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 646.
Step 1: Identify the number. Here, the number is 646.
Step 2: Multiplying the number by itself, we get, 646 × 646 = 417,316.
The square of 646 is 417,316.
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 646 So: 646² = 646 × 646 = 417,316
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 646.
Step 1: Enter the number in the calculator Enter 646 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 646 × 646
Step 3: Press the equal to button to find the answer Here, the square of 646 is 417,316.
Tips and Tricks for the Square of 646
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 646
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 646
Problem 1
Find the length of the square, where the area of the square is 417,316 cm².
The area of a square = a²
So, the area of a square = 417,316 cm²
So, the length = √417,316 = 646.
The length of each side = 646 cm
Explanation
The length of a square is 646 cm.
Because the area is 417,316 cm² the length is √417,316 = 646.
Problem 2
Alex is planning to paint his square wall of length 646 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 646 feet
The cost to paint 1 square foot of wall = is 2 dollars.
To find the total cost to paint, we find the area of the wall,
Area of the wall = area of the square = a²
Here a = 646
Therefore, the area of the wall = 646² = 646 × 646 = 417,316.
The cost to paint the wall = 417,316 × 2 = 834,632.
The total cost = 834,632 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot. So, the total cost is 834,632 dollars.
Problem 3
Find the area of a circle whose radius is 646 meters.
The area of the circle = 1,311,300.92 m²
Explanation
The area of a circle = πr²
Here, r = 646
Therefore, the area of the circle = π × 646² = 3.14 × 646 × 646 = 1,311,300.92 m².
Problem 4
The area of the square is 417,316 cm². Find the perimeter of the square.
The perimeter of the square is 2,584 cm.
Explanation
The area of the square = a²
Here, the area is 417,316 cm²
The length of the side is √417,316 = 646
Perimeter of the square = 4a
Here, a = 646
Therefore, the perimeter = 4 × 646 = 2,584.
Problem 5
Find the square of 647.
The square of 647 is 418,609.
Explanation
The square of 647 is multiplying 647 by 647. So, the square = 647 × 647 = 418,609.
FAQs on Square of 646
1.What is the square of 646?
2.What is the square root of 646?
3.Is 646 a prime number?
4.What are the first few multiples of 646?
5.What is the square of 645?
Important Glossaries for Square 646
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, etc.
- 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.
- Even number: A whole number that is divisible by 2.
- 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.
- 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.
