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 the topic, we will discuss the square of 406.
The square of a number is the product of the number itself.
The square of 406 is 406 × 406.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 406², where 406 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 406 is 406 × 406 = 164836.
Square of 406 in exponential form: 406²
Square of 406 in arithmetic form: 406 × 406
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.
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 406
Step 1: Identify the number. Here, the number is 406
Step 2: Multiplying the number by itself, we get, 406 × 406 = 164836.
The square of 406 is 164836.
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 406
So: 406² = 406 × 406 = 164836
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 406.
Step 1: Enter the number in the calculator Enter 406 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 406 × 406
Step 3: Press the equal to button to find the answer
Here, the square of 406 is 164836.
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 the square, where the area of the square is 164836 cm².
The area of a square = a² So, the area of a square = 164836 cm² So, the length = √164836 = 406. The length of each side = 406 cm
The length of a square is 406 cm.
Because the area is 164836 cm² the length is √164836 = 406.
Anna is planning to tile her square garden of length 406 feet. The cost to tile a foot is 2 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 406 feet The cost to tile 1 square foot of garden = 2 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 = 406 Therefore, the area of the garden = 406² = 406 × 406 = 164836. The cost to tile the garden = 164836 × 2 = 329672. The total cost = 329672 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 329672 dollars.
Find the area of a circle whose radius is 406 meters.
The area of the circle = 517,404.64 m²
The area of a circle = πr²
Here, r = 406
Therefore, the area of the circle = π × 406² = 3.14 × 406 × 406 = 517404.64 m².
The area of the square is 164836 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 164836 cm²
The length of the side is √164836 = 406
Perimeter of the square = 4a
Here, a = 406
Therefore, the perimeter = 4 × 406 = 1624.
Find the square of 407.
The square of 407 is 165649
The square of 407 is multiplying 407 by 407.
So, the square = 407 × 407 = 165649
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.