121 LearnersLast updated on May 26th, 2025
Square of 672
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 672.
What is the Square of 672
The square of a number is the product of the number itself. The square of 672 is 672 × 672. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 672², where 672 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 672 is 672 × 672 = 451,584.
Square of 672 in exponential form: 672²
Square of 672 in arithmetic form: 672 × 672
How to Calculate the Value of Square of 672
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 672.
Step 1: Identify the number. Here, the number is 672.
Step 2: Multiplying the number by itself, we get, 672 × 672 = 451,584.
The square of 672 is 451,584.
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 672.
So: 672² = 672 × 672 = 451,584
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 672.
Step 1: Enter the number in the calculator Enter 672 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 672 × 672
Step 3: Press the equal button to find the answer Here, the square of 672 is 451,584.
Tips and Tricks for the Square of 672
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 672
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 swap 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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 672² with (6+7+2)² or (60+70+2)². So students should check and use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and perform the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should practice regularly to avoid errors.
Solved Examples on Square of 672
Problem 1
Find the length of the square, where the area of the square is 451,584 cm².
The area of a square = a² So, the area of a square = 451,584 cm² So, the length = √451,584 = 672. The length of each side = 672 cm.
Explanation
The length of a square is 672 cm because the area is 451,584 cm², and the length is √451,584 = 672.
Problem 2
Lucy wants to wallpaper her square room with a length of 672 feet. The cost to wallpaper a foot is 2 dollars. How much will it cost to wallpaper the entire room?
The length of the room = 672 feet
The cost to wallpaper 1 square foot of the room = 2 dollars.
To find the total cost to wallpaper, we find the area of the room,
Area of the room = area of the square = a²
Here a = 672
Therefore, the area of the room = 672² = 672 × 672 = 451,584.
The cost to wallpaper the room = 451,584 × 2 = 903,168.
The total cost = 903,168 dollars.
Explanation
To find the cost to wallpaper the room, we multiply the area of the room by the cost to wallpaper per foot. So, the total cost is 903,168 dollars.
Problem 3
Find the area of a circle whose radius is 672 meters.
The area of the circle = 1,418,176.64 m²
Explanation
The area of a circle = πr²
Here, r = 672
Therefore, the area of the circle = π × 672²
= 3.14 × 672 × 672
= 1,418,176.64 m².
Problem 4
The area of the square is 451,584 cm². Find the perimeter of the square.
The perimeter of the square is 2,688 cm.
Explanation
The area of the square = a²
Here, the area is 451,584 cm²
The length of the side is √451,584 = 672
Perimeter of the square = 4a
Here, a = 672
Therefore, the perimeter = 4 × 672 = 2,688 cm.
Problem 5
Find the square of 673.
The square of 673 is 452,929.
Explanation
The square of 673 is multiplying 673 by 673. So, the square = 673 × 673 = 452,929.
FAQs on Square of 672
1.What is the square of 672?
2.What is the square root of 672?
3.Is 672 a prime number?
4.What are the first few multiples of 672?
5.What is the square of 671?
6.How does learning Algebra help students in Oman make better decisions in daily life?
7.How can cultural or local activities in Oman support learning Algebra topics such as Square of 672?
8.How do technology and digital tools in Oman support learning Algebra and Square of 672?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for Square 672
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: The exponent of a number shows how many times the number is multiplied by itself. For instance, in 672², 2 is the exponent.
- Square root: The square root is the inverse operation of squaring. The square root of a number is the value that, when multiplied by itself, gives the original number.
- Arithmetic form: A method of expressing a mathematical expression in terms of basic operations like addition, subtraction, multiplication, and division.
- Prime number: A natural number greater than 1 that has no positive divisors other than 1 and itself.
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About BrightChamps in Oman
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.
