101 LearnersLast updated on May 26th, 2025
Square of 136
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 136.
What is the Square of 136
The square of a number is the product of the number itself. The square of 136 is 136 × 136. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 136², where 136 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 136 is 136 × 136 = 18496. Square of 136 in exponential form: 136² Square of 136 in arithmetic form: 136 × 136
How to Calculate the Value of Square of 136
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
- 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 136.
Step 1: Identify the number. Here, the number is 136.
Step 2: Multiplying the number by itself, we get, 136 × 136 = 18496. The square of 136 is 18496.
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 136. So: 136² = 136 × 136 = 18496
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 136.
Step 1: Enter the number in the calculator Enter 136 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 136 × 136
Step 3: Press the equal to button to find the answer Here, the square of 136 is 18496.
Tips and Tricks for the Square of 136 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. 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 136
Mistakes are common among kids when doing math, especially when it comes to 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 students skip the steps or swap the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Solved Examples on Square of 136
Problem 1
Find the length of the square, where the area of the square is 18496 cm².
The area of a square = a² So, the area of a square = 18496 cm² So, the length = √18496 = 136. The length of each side = 136 cm
Explanation
The length of a square is 136 cm.
Because the area is 18496 cm², the length is √18496 = 136.
Problem 2
Lisa is planning to paint her square mural of length 136 feet. The cost to paint a foot is 5 dollars. How much will it cost to paint the full mural?
The length of the mural = 136 feet The cost to paint 1 square foot of mural = 5 dollars. To find the total cost to paint, we find the area of the mural, Area of the mural = area of the square = a² Here a = 136 Therefore, the area of the mural = 136² = 136 × 136 = 18496. The cost to paint the mural = 18496 × 5 = 92480. The total cost = 92480 dollars
Explanation
To find the cost to paint the mural, we multiply the area of the mural by the cost to paint per foot.
So, the total cost is 92480 dollars.
Problem 3
Find the area of a circle whose radius is 136 meters.
The area of the circle = 58088.64 m²
Explanation
The area of a circle = πr²
Here, r = 136
Therefore, the area of the circle = π × 136²
= 3.14 × 136 × 136
= 58088.64 m².
Problem 4
The area of the square is 18496 cm². Find the perimeter of the square.
The perimeter of the square is 544 cm.
Explanation
The area of the square = a²
Here, the area is 18496 cm²
The length of the side is √18496 = 136
Perimeter of the square = 4a
Here, a = 136
Therefore, the perimeter = 4 × 136 = 544.
Problem 5
Find the square of 137.
The square of 137 is 18769.
Explanation
The square of 137 is multiplying 137 by 137.
So, the square = 137 × 137 = 18769.
FAQs on Square of 136
1.What is the square of 136?
2.What is the square root of 136?
3.Is 136 a prime number?
4.What are the first few multiples of 136?
5.What is the square of 135?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 136?
8.How do technology and digital tools in United States support learning Algebra and Square of 136?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 136.
- Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 11, …
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Even number: An integer that is exactly divisible by 2. For example, 2, 4, 6, 8, 10, …
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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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