100 LearnersLast updated on May 26th, 2025
Factors of 7921
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 7921, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 7921?
The numbers that divide 7921 evenly are known as factors of 7921.
A factor of 7921 is a number that divides the number without remainder.
The factors of 7921 are 1, 89, and 7921.
Negative factors of 7921: -1, -89, and -7921.
Prime factors of 7921: 89.
Prime factorization of 7921: 89².
The sum of factors of 7921: 1 + 89 + 7921 = 8011
How to Find Factors of 7921?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 7921. Identifying the numbers which are multiplied to get the number 7921 is the multiplication method.
Step 1: Multiply 7921 by 1, 7921 × 1 = 7921.
Step 2: Check for other numbers that give 7921 after multiplying 89 × 89 = 7921
Therefore, the positive factor pairs of 7921 are: (1, 7921) and (89, 89).
All these factor pairs result in 7921.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 7921 by 1, 7921 ÷ 1 = 7921.
Step 2: Continue dividing 7921 by the numbers until the remainder becomes 0.
7921 ÷ 1 = 7921
7921 ÷ 89 = 89
Therefore, the factors of 7921 are: 1, 89, and 7921.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 7921 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
7921 ÷ 89 = 89
89 ÷ 89 = 1
The prime factor of 7921 is 89.
The prime factorization of 7921 is: 89².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 7921 is divided by 89 to get 89.
Step 2: Now divide 89 by itself to get 1.
So, the prime factorization of 7921 is: 89².
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 7921: (1, 7921) and (89, 89).
Negative factor pairs of 7921: (-1, -7921) and (-89, -89).
Common Mistakes and How to Avoid Them in Factors of 7921
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 7921, 1 and 7921 are also factors.
Factors of 7921 Examples
Problem 1
There are 7921 marbles to be evenly distributed among a certain number of boxes. If each box can hold 89 marbles, how many boxes are needed?
89 boxes are needed.
Explanation
To find the number of boxes required, divide the total marbles by the capacity of each box.
7921 ÷ 89 = 89
Problem 2
A square garden has an area of 7921 square meters. What is the length of one side of the garden?
89 meters.
Explanation
To find the side length of the square garden, take the square root of the total area.
√7921 = 89
Problem 3
A company is packaging 7921 identical items into sets of 89. How many complete sets can be made?
89 complete sets can be made.
Explanation
To find the number of complete sets, divide the total number of items by the number of items per set.
7921 ÷ 89 = 89
Problem 4
There are 7921 pages to be equally divided among 89 binders. How many pages go into each binder?
Each binder contains 89 pages.
Explanation
Dividing the pages by the number of binders gives the number of pages per binder.
7921 ÷ 89 = 89
Problem 5
A library has 7921 books, and they need to be organized onto 89 shelves. How many books will each shelf hold?
Each shelf will hold 89 books.
Explanation
Divide the total number of books by the number of shelves.
7921 ÷ 89 = 89
FAQs on Factors of 7921
1.What are the factors of 7921?
2.Mention the prime factors of 7921.
3.Is 7921 a perfect square?
4.Mention the factor pairs of 7921?
5.What is the square root of 7921?
6.How can children in Canada use numbers in everyday life to understand Factors of 7921?
7.What are some fun ways kids in Canada can practice Factors of 7921 with numbers?
8.What role do numbers and Factors of 7921 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 7921 skills?
Important Glossaries for Factors of 7921
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 7921 are 1, 89, and 7921.
- Prime factors: The factors which are prime numbers. For example, 89 is a prime factor of 7921.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 7921 are (1, 7921) and (89, 89).
- Perfect square: A number that is the square of an integer. For example, 7921 is a perfect square because it is equal to 89².
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 7921 is 89².
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About BrightChamps in Canada
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
