Last updated on May 29th, 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 1681.
The square of a number is the product of the number itself.
The square of 1681 is 1681 × 1681.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1681², where 1681 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 1681 is 1681 × 1681 = 2,822,761.
Square of 1681 in exponential form: 1681²
Square of 1681 in arithmetic form: 1681 × 1681
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 1681.
Step 1: Identify the number. Here, the number is 1681.
Step 2: Multiplying the number by itself, we get, 1681 × 1681 = 2,822,761.
The square of 1681 is 2,822,761.
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 1681
So: 1681² = 1681 × 1681 = 2,822,761
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 1681.
Step 1: Enter the number in the calculator. Enter 1681 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 1681 × 1681
Step 3: Press the equal to button to find the answer. Here, the square of 1681 is 2,822,761.
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.
Emily is planning a garden and wants the area to be a perfect square of 1681 m². What will be the length of each side of the garden?
The area of a square = a²
So, the area of a square = 1681 m²
So, the length = √1681 = 41.
The length of each side = 41 m
The length of a square is 41 m.
Because the area is 1681 m², the length is √1681 = 41.
A square picture frame has a side length of 41 cm. The cost to add a border around the frame is $2 per cm. How much will it cost to add the border around the entire frame?
The length of the frame = 41 cm
The cost to add a border around 1 cm of the frame = $2.
To find the total cost to add the border, we find the perimeter of the frame, Perimeter of the frame = 4a
Here a = 41
Therefore, the perimeter = 4 × 41 = 164.
The cost to add the border = 164 × 2 = $328.
The total cost = $328
To find the cost to add the border around the frame, we multiply the perimeter of the frame by the cost per cm. So, the total cost is $328.
Find the area of a circle whose diameter is 82 meters.
The area of the circle = 5,281.92 m²
The area of a circle = πr²
Here, the diameter is 82 meters, so the radius r = 41 meters.
Therefore, the area of the circle = π × 41² = 3.14 × 41 × 41 = 5,281.92 m².
The area of the square is 2,822,761 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 2,822,761 cm²
The length of the side is √2,822,761 = 1681
Perimeter of the square = 4a
Here, a = 1681
Therefore, the perimeter = 4 × 1681 = 6,724.
Find the square of 42.
The square of 42 is 1,764.
The square of 42 is multiplying 42 by 42.
So, the square = 42 × 42 = 1,764.
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.