Last updated on May 30th, 2025
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 123.
The square of a number is the product of the number itself.
The square of 123 is 123 × 123.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 123², where 123 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 123 is 123 × 123 = 15129.
Square of 123 in exponential form: 123²
Square of 123 in arithmetic form: 123 × 123
The square of a number is found by 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.
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 123.
Step 1: Identify the number. Here, the number is 123.
Step 2: Multiplying the number by itself, we get, 123 × 123 = 15129.
The square of 123 is 15129.
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 123. So: 123² = 123 × 123 = 15129
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 123.
Step 1: Enter the number in the calculator. Enter 123 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 123 × 123
Step 3: Press the equal to button to find the answer. Here, the square of 123 is 15129.
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.
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.
Find the length of a square, where the area of the square is 15129 cm².
The area of a square = a²
So, the area of a square = 15129 cm²
So, the length = √15129 = 123.
The length of each side = 123 cm
The length of a square is 123 cm. Because the area is 15129 cm², the length is √15129 = 123.
Alice is planning to tile her square garden of length 123 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire garden?
The length of the garden = 123 feet
The cost to tile 1 square foot of the garden = 5 dollars.
To find the total cost to tile, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 123
Therefore, the area of the garden = 123² = 123 × 123 = 15129.
The cost to tile the garden = 15129 × 5 = 75645.
The total cost = 75645 dollars
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 75645 dollars.
Find the area of a circle whose radius is 123 meters.
The area of the circle = 47529.29 m²
The area of a circle = πr²
Here, r = 123
Therefore, the area of the circle = π × 123² = 3.14 × 123 × 123 = 47529.29 m².
The area of a square is 15129 cm². Find the perimeter of the square.
The perimeter of the square is 492 cm.
The area of the square = a²
Here, the area is 15129 cm²
The length of the side is √15129 = 123
Perimeter of the square = 4a Here, a = 123
Therefore, the perimeter = 4 × 123 = 492.
Find the square of 124.
The square of 124 is 15376.
The square of 124 is multiplying 124 by 124.
So, the square = 124 × 124 = 15376.
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.
: He loves to play the quiz with kids through algebra to make kids love it.