112 LearnersLast updated on May 26th, 2025
Square of 629
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 629.
What is the Square of 629
The square of a number is the product of the number itself. The square of 629 is 629 × 629. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 629², where 629 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 629 is 629 × 629 = 395,641.
Square of 629 in exponential form: 629²
Square of 629 in arithmetic form: 629 × 629
How to Calculate the Value of Square of 629
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 629
Step 1: Identify the number. Here, the number is 629
Step 2: Multiplying the number by itself, we get, 629 × 629 = 395,641.
The square of 629 is 395,641.
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 629 So: 629² = 629 × 629 = 395,641
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 629.
Step 1: Enter the number in the calculator Enter 629 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 629 × 629
Step 3: Press the equal to button to find the answer Here, the square of 629 is 395,641.
Tips and Tricks for the Square of 629
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.
- 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 629
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 629
Problem 1
Find the length of the square, where the area of the square is 395,641 cm².
The area of a square = a²
So, the area of a square = 395,641 cm²
So, the length = √395,641 = 629.
The length of each side = 629 cm
Explanation
The length of a square is 629 cm.
Because the area is 395,641 cm², the length is √395,641 = 629.
Problem 2
Alice is planning to tile her square kitchen floor, which is 629 feet on each side. The cost of tiling a square foot is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 629 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 = 629
Therefore, the area of the floor = 629² = 629 × 629 = 395,641.
The cost to tile the floor = 395,641 × 5 = 1,978,205.
The total cost = 1,978,205 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 1,978,205 dollars.
Problem 3
Find the area of a circle whose radius is 629 meters.
The area of the circle = 1,243,449.78 m²
Explanation
The area of a circle = πr²
Here, r = 629
Therefore, the area of the circle = π × 629² = 3.14 × 629 × 629 = 1,243,449.78 m².
Problem 4
The area of the square is 395,641 cm². Find the perimeter of the square.
The perimeter of the square is 2,516 cm
Explanation
The area of the square = a²
Here, the area is 395,641 cm²
The length of the side is √395,641 = 629
Perimeter of the square = 4a
Here, a = 629
Therefore, the perimeter = 4 × 629 = 2,516 cm.
Problem 5
Find the square of 630.
The square of 630 is 396,900
Explanation
The square of 630 is multiplying 630 by 630. So, the square = 630 × 630 = 396,900
FAQs on Square of 629
1.What is the square of 629?
2.What is the square root of 629?
3.Is 629 a prime number?
4.What are the first few multiples of 629?
5.What is the square of 630?
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 629?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 629?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 629.
- Prime number: A number that is only divisible by 1 and itself.
- Exponential form: A way of writing numbers using a base and an exponent, such as 629².
- Square root: The value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer.
- Perimeter: The total length around a two-dimensional shape, such as a square, calculated as 4 times the side length for a square.
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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.
