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Last updated on November 28th, 2024

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Factors of 121

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Foundation
Intermediate
Advance Topics

Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.

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What are the factors of 121?

Factors are the numbers that help us divide things equally without any leftovers. In this topic we will learn about factors of 121. The number has both positive and negative integers that divide 121 without leaving any remainder. 
 

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How to find the factors of 121?

Factors help us divide numbers equally, making calculations faster and easier. Few methods used for calculating factors are as follows 
 

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Multiplication Method

In this method a pair of number is multiplied to get the resultant. 


1×121=121 


11×11=121, 1, 11, 121 are the factors of 121
 

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Division Method

In this method, we start dividing numbers from 1 to get 0 remainder. 


121 1=121


121 11=11


So the factors are 1,11 and 121.
 

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Prime Factorization

The breaking down of numbers as prime factors is called prime factorization. The factors of 121 are:
121=11 × 11= 112
 

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Factor tree method

A factor tree shows how a number can be parted down into prime factors.121 is broken down into two factors, 11 and 11.
 

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Positive and negative pairs

Both positive and negative factors constitute a number


Positive :(1,11,121)


Negative:(-1,-11,-121)
 

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Common Mistakes and How to Avoid Them in Factors of 121

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factors of 121 Examples

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Problem 1

Check if 121 is a prime number.

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Explanation

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Problem 2

Find the sum of all positive factors of 121.

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Explanation

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Problem 3

Find the GCF of 121 and 77.

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Explanation

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FAQs on Factors of 121

1.Is 121 a prime number?

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2.Which number can be divided by 121?

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3.Is 121 a perfect square?

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4.Is the root of 121 a natural number?

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5.Is 3 a factor of 121?

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Important Glossaries for factors of 121

  • Prime Factorization: It is a method to break down a number into prime factors, 121 = 11 × 11

 

  • Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.

 

  • Even number: A number that when divided by 2 gives a whole number.
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