100 LearnersLast updated on May 27th, 2025
Square of 532
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 532.
What is the Square of 532
The square of a number is the product of the number itself.
The square of 532 is 532 × 532.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as (5322), where 532 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, (52 = 25); ((-5)2 = 25).
The square of 532 is 532 × 532 = 283,024.
Square of 532 in exponential form: (5322)
Square of 532 in arithmetic form: 532 × 532
How to Calculate the Value of Square of 532
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
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 532.
Step 1: Identify the number. Here, the number is 532.
Step 2: Multiplying the number by itself, we get, 532 × 532 = 283,024.
The square of 532 is 283,024.
Using a Formula \((a^2)\)
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 532. So: 5322 = 532 × 532 = 283,024
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 532.
Step 1: Enter the number in the calculator Enter 532 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 532 × 532
Step 3: Press the equal to button to find the answer Here, the square of 532 is 283,024.
Tips and Tricks for the Square of 532
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 532
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 532
Problem 1
Find the length of the square, where the area of the square is 283,024 cm².
The area of a square = (a2)
So, the area of a square = 283,024 cm²
So, the length = (√283,024 = 532).
The length of each side = 532 cm
Explanation
The length of a square is 532 cm.
Because the area is 283,024 cm², the length is (√283,024 = 532).
Problem 2
Sarah is planning to tile her square room of length 532 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full room?
The length of the room = 532 feet
The cost to tile 1 square foot of the room = 5 dollars.
To find the total cost to tile, we find the area of the room, Area of the room = area of the square = (a2)
Here a = 532
Therefore, the area of the room = (5322 = 532 × 532 = 283,024).
The cost to tile the room = 283,024 × 5 = 1,415,120.
The total cost = 1,415,120 dollars
Explanation
To find the cost to tile the room, we multiply the area of the room by the cost to tile per foot. So, the total cost is 1,415,120 dollars.
Problem 3
Find the area of a circle whose radius is 532 meters.
The area of the circle = 889,576.64 m²
Explanation
The area of a circle = π(r2)
Here, r = 532
Therefore, the area of the circle = π × (5322) = 3.14 × 532 × 532 = 889,576.64 m².
Problem 4
The area of the square is 283,024 cm². Find the perimeter of the square.
The perimeter of the square is 2,128 cm.
Explanation
The area of the square = (a2)
Here, the area is 283,024 cm²
The length of the side is (√283,024 = 532)
Perimeter of the square = 4a
Here, a = 532
Therefore, the perimeter = 4 × 532 = 2,128.
Problem 5
Find the square of 533.
The square of 533 is 284,089.
Explanation
The square of 533 is multiplying 533 by 533. So, the square = 533 × 533 = 284,089.
FAQs on Square of 532
1.What is the square of 532?
2.What is the square root of 532?
3.Is 532 a prime number?
4.What are the first few multiples of 532?
5.What is the square of 531?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 532?
8.How do technology and digital tools in United States support learning Algebra and Square of 532?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 532
- Square: The product of a number multiplied by itself. For example, the square of 3 is 9.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is (42).
- Prime number: A number greater than 1 with no positive divisors other than 1 and itself.
- Exponential form: Writing a number as a base raised to a power, such as (92).
- Square root: A number that produces a specified quantity when multiplied by itself. For example, the square root of 16 is 4.
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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.
