165 LearnersLast updated on May 26th, 2025
Factors of 121
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.
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.
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
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
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.
Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 121 are:
121=11 × 11= 112
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.
Positive and negative pairs
Both positive and negative factors constitute a number
Positive :(1,11,121)
Negative:(-1,-11,-121)
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
Improper calculation in division
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.
factors of 121 Examples
Problem 1
Check if 121 is a prime number.
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.
Problem 2
Find the sum of all positive factors of 121.
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.
Problem 3
Find the GCF of 121 and 77.
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.
FAQs on Factors of 121
1.Is 121 a prime number?
2.Which number can be divided by 121?
3.Is 121 a perfect square?
4.Is the root of 121 a natural number?
5.Is 3 a factor of 121?
6.How can children in Qatar use numbers in everyday life to understand Factors of 121?
7.What are some fun ways kids in Qatar can practice Factors of 121 with numbers?
8.What role do numbers and Factors of 121 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 121 skills?
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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