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 401.
The square of a number is the product of the number by itself.
The square of 401 is 401 × 401.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 401², where 401 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 401 is 401 × 401 = 160,801.
Square of 401 in exponential form: 401²
Square of 401 in arithmetic form: 401 × 401
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 401
Step 1: Identify the number. Here, the number is 401
Step 2: Multiplying the number by itself, we get, 401 × 401 = 160,801.
The square of 401 is 160,801.
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 401
So: 401² = 401 × 401 = 160,801
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 401.
Step 1: Enter the number in the calculator Enter 401 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 401 × 401
Step 3: Press the equal to button to find the answer
Here, the square of 401 is 160,801.
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 160,801 cm².
The area of a square = a² So, the area of a square = 160,801 cm² So, the length = √160,801 = 401. The length of each side = 401 cm
The length of a square is 401 cm.
Because the area is 160,801 cm², the length is √160,801 = 401.
Sam is planning to tile his square floor of length 401 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 401 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 = 401 Therefore, the area of the floor = 401² = 401 × 401 = 160,801. The cost to tile the floor = 160,801 × 5 = 804,005. The total cost = 804,005 dollars
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 804,005 dollars.
Find the area of a circle whose radius is 401 meters.
The area of the circle = 505,645.64 m²
The area of a circle = πr²
Here, r = 401
Therefore, the area of the circle = π × 401² = 3.14 × 401 × 401 = 505,645.64 m².
The area of a square is 160,801 cm². Find the perimeter of the square.
The perimeter of the square is 1,604 cm
The area of the square = a²
Here, the area is 160,801 cm²
The length of the side is √160,801 = 401
Perimeter of the square = 4a
Here, a = 401
Therefore, the perimeter = 4 × 401 = 1,604.
Find the square of 402.
The square of 402 is 161,604
The square of 402 is multiplying 402 by 402.
So, the square = 402 × 402 = 161,604
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.