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Last updated on May 26th, 2025

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Factors of 121

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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.

Factors of 121 for UK Students
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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

While learning about factors of 121, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
 

Mistake 1

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Improper calculation in division
 

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Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.

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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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 No, 121 is not a prime number. It has 3 factors 1, 11, and 121

Explanation

A prime number has exactly two distinct factors (1 and itself), whereas a composite number has more than two factors. Since 121 has factors 1,11 and 121, it is composite.

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Problem 2

Find the sum of all positive factors of 121.

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The factors of 121 are: 1,11 and 121.
 

Explanation

Step 1: Sum the factors


1+11+121=133


The sum of all positive factors of 121 is 133.
 

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Problem 3

Find the GCF of 121 and 77.

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Factors of 121: 1,11,121


Factors of 77: 1,7,11,77


GCF = 11


The largest factor common to both numbers is 11. 
 

Explanation

The largest factor common to both numbers is 11.
 

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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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6.How can children in United Kingdom use numbers in everyday life to understand Factors of 121?

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7.What are some fun ways kids in United Kingdom can practice Factors of 121 with numbers?

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8.What role do numbers and Factors of 121 play in helping children in United Kingdom develop problem-solving skills?

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9.How can families in United Kingdom create number-rich environments to improve Factors of 121 skills?

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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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About BrightChamps in United Kingdom

At BrightChamps, numbers are more than just figures—they open doors to endless opportunities! Our mission is to help children across the United Kingdom gain essential math skills, focusing today on Factors of 121 with special attention to understanding factors—in an engaging, enjoyable, and easy-to-follow way. Whether your child is working out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money to buy the latest gadgets, strong number skills give them confidence in daily life. Our interactive lessons make learning simple and fun. Because children in the UK have varied learning styles, we tailor our approach to suit each learner. From London’s busy streets to Cornwall’s beautiful coasts, BrightChamps brings math to life, making it relatable and exciting throughout the UK. Let’s make factors an enjoyable part of every child’s math journey!
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