129 LearnersLast updated on May 28th, 2025
Square of 1249
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 1249.
What is the Square of 1249
The square of a number is the product of the number itself. The square of 1249 is 1249 × 1249.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1249², where 1249 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 1249 is 1249 × 1249 = 1,560,001.
Square of 1249 in exponential form: 1249²
Square of 1249 in arithmetic form: 1249 × 1249
How to Calculate the Value of Square of 1249
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.
- By Multiplication Method
- Using a Formula (a2)
- Using a Calculator
By the Multiplication method
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 1249.
Step 1: Identify the number. Here, the number is 1249
Step 2: Multiplying the number by itself, we get, 1249 × 1249 = 1,560,001.
The square of 1249 is 1,560,001.
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 1249
So: 1249² = 1249 × 1249 = 1,560,001
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 1249.
Step 1: Enter the number in the calculator. Enter 1249 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1249 × 1249.
Step 3: Press the equal to button to find the answer. Here, the square of 1249 is 1,560,001.
Tips and Tricks for the Square of 1249
Tips and tricks make it easy to understand and learn the square of a number. To master the square of a number, these tips and tricks will help:
- 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 1249
Mistakes are common when doing math, especially when 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 steps are skipped or digits are swapped. To avoid this, double-check the answer. This can be done by finding the square root of the solution.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students might mistakenly use (1 + 2 + 4 + 9)² or (1200 + 49)². Ensure the correct formula is used 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. Understand 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 parentheses when finding the square of a number can lead to errors. Understand parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Practice regularly to avoid errors.
Solved Examples on Square of 1249
Problem 1
Find the length of the square, where the area of the square is 1,560,001 cm².
The area of a square = a²
So, the area of a square = 1,560,001 cm²
So, the length = √1,560,001 = 1249.
The length of each side = 1249 cm
Explanation
The length of a square is 1249 cm.
Because the area is 1,560,001 cm², the length is √1,560,001 = 1249.
Problem 2
Anna is planning to carpet her square room of length 1249 feet. The cost to carpet a foot is 5 dollars. How much will it cost to carpet the entire room?
The length of the room = 1249 feet
The cost to carpet 1 square foot of the room = 5 dollars.
To find the total cost to carpet, find the area of the room.
Area of the room = area of the square = a²
Here a = 1249
Therefore, the area of the room = 1249² = 1249 × 1249 = 1,560,001.
The cost to carpet the room = 1,560,001 × 5 = 7,800,005.
The total cost = 7,800,005 dollars
Explanation
To find the cost to carpet the room, multiply the area of the room by the cost to carpet per foot. So, the total cost is 7,800,005 dollars.
Problem 3
Find the area of a circle whose radius is 1249 meters.
The area of the circle = 4,902,465.46 m²
Explanation
The area of a circle = πr²
Here, r = 1249
Therefore, the area of the circle = π × 1249² = 3.14 × 1249 × 1249 = 4,902,465.46 m².
Problem 4
The area of the square is 1,560,001 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1,560,001 cm²
The length of the side is √1,560,001 = 1249
Perimeter of the square = 4a
Here, a = 1249
Therefore, the perimeter = 4 × 1249 = 4,996.
Problem 5
Find the square of 1250.
The square of 1250 is 1,562,500
Explanation
The square of 1250 is calculated by multiplying 1250 by 1250.
So, the square = 1250 × 1250 = 1,562,500
FAQs on Square of 1249
1.What is the square of 1249?
2.What is the square root of 1249?
3.Is 1249 a prime number?
4.What are the first few multiples of 1249?
5.What is the square of 1251?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Square of 1249?
8.How do technology and digital tools in Thailand support learning Algebra and Square of 1249?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Square of 1249.
- Prime number: A number that is only divisible by 1 and itself, such as 1249.
- Exponential form: A way of expressing numbers as a base raised to a power, like 1249².
- Square root: The inverse operation of squaring, giving a number whose square is the original number.
- Perfect square: A number that is the square of an integer. For example, 1,560,001 is a perfect square.
- Multiples: Numbers obtained by multiplying the number by integers, such as multiples of 1249.
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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
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