107 LearnersLast updated on May 26th, 2025
Square of 624
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 624.
What is the Square of 624
The square of a number is the product of the number with itself. The square of 624 is 624 × 624. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 624², where 624 is the base and 2 is the exponent. The square of both positive and negative numbers is always positive. For example, 5² = 25; -5² = 25.
The square of 624 is 624 × 624 = 389376.
Square of 624 in exponential form: 624²
Square of 624 in arithmetic form: 624 × 624
How to Calculate the Value of Square of 624
The square of a number is found by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 624.
Step 1: Identify the number. Here, the number is 624.
Step 2: Multiply the number by itself, we get, 624 × 624 = 389376.
The square of 624 is 389376.
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 624 So: 624² = 624 × 624 = 389376
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 624.
Step 1: Enter the number in the calculator Enter 624 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 624 × 624
Step 3: Press the equal button to find the answer Here, the square of 624 is 389376.
Tips and Tricks for the Square of 624
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 624
Mistakes are common among kids when doing math, especially when 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 steps or swap digits. To avoid this, 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 624
Problem 1
Find the length of the square, where the area of the square is 389376 cm².
The area of a square = a²
So, the area of a square = 389376 cm²
So, the length = √389376 = 624.
The length of each side = 624 cm
Explanation
The length of a square is 624 cm because the area is 389376 cm², the length is √389376 = 624.
Problem 2
John is planning to tile his square floor of length 624 feet. The cost to tile a foot is 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 624 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 = 624
Therefore, the area of the floor = 624² = 624 × 624 = 389376.
The cost to tile the floor = 389376 × 5 = 1,946,880.
The total cost = 1,946,880 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 1,946,880 dollars.
Problem 3
Find the area of a circle whose radius is 624 meters.
The area of the circle = 1,222,354.24 m²
Explanation
The area of a circle = πr²
Here, r = 624
Therefore, the area of the circle = π × 624² = 3.14 × 624 × 624 = 1,222,354.24 m².
Problem 4
The area of the square is 389376 cm². Find the perimeter of the square.
The perimeter of the square is 2,496 cm
Explanation
The area of the square = a²
Here, the area is 389376 cm²
The length of the side is √389376 = 624
Perimeter of the square = 4a
Here, a = 624
Therefore, the perimeter = 4 × 624 = 2,496 cm.
Problem 5
Find the square of 625.
The square of 625 is 390625
Explanation
The square of 625 is multiplying 625 by 625.
So, the square = 625 × 625 = 390625
FAQs on Square of 624
1.What is the square of 624?
2.What is the square root of 624?
3.Is 624 a perfect square?
4.What are the first few multiples of 624?
5.What is the square of 625?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 624?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 624?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 624
- Perfect square: A number whose square root is an integer.
- Exponential form: Writing a number in the form of a power, such as 624² where 624 is the base and 2 is the power.
- Square root: The inverse operation of squaring a number, a value that, when multiplied by itself, gives the original number.
- Even number: A number divisible by 2 with no remainder.
- Multiplication method: A method to find the square of a number by multiplying it by itself.
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About BrightChamps in Vietnam
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.
