149 LearnersLast updated on May 26th, 2025
Factors of 968
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 968, how they are used in real life, and tips to learn them quickly.
What are the Factors of 968?
The numbers that divide 968 evenly are known as factors of 968.
A factor of 968 is a number that divides the number without remainder.
The factors of 968 are 1, 2, 4, 11, 22, 44, 121, 242, 484, and 968.
Negative factors of 968: -1, -2, -4, -11, -22, -44, -121, -242, -484, and -968.
Prime factors of 968: 2 and 11.
Prime factorization of 968: 23 × 112.
The sum of factors of 968: 1 + 2 + 4 + 11 + 22 + 44 + 121 + 242 + 484 + 968 = 1899
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How to Find Factors of 968?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 968. Identifying the numbers which are multiplied to get the number 968 is the multiplication method.
Step 1: Multiply 968 by 1, 968 × 1 = 968.
Step 2: Check for other numbers that give 968 after multiplying
2 × 484 = 968
4 × 242 = 968
11 × 88 = 968
22 × 44 = 968
Therefore, the positive factor pairs of 968 are: (1, 968), (2, 484), (4, 242), (11, 88), (22, 44).
All these factor pairs result in 968.
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 968 by 1, 968 ÷ 1 = 968.
Step 2: Continue dividing 968 by the numbers until the remainder becomes 0.
968 ÷ 1 = 968
968 ÷ 2 = 484
968 ÷ 4 = 242
968 ÷ 11 = 88
968 ÷ 22 = 44
Therefore, the factors of 968 are: 1, 2, 4, 11, 22, 44, 121, 242, 484, 968.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 968 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
968 ÷ 2 = 484
484 ÷ 2 = 242
242 ÷ 2 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factors of 968 are 2 and 11.
The prime factorization of 968 is: 23 × 112.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 968 is divided by 2 to get 484.
Step 2: Now divide 484 by 2 to get 242.
Step 3: Then divide 242 by 2 to get 121.
Step 4: Divide 121 by 11 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 968 is: 23 × 112.
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 968: (1, 968), (2, 484), (4, 242), (11, 88), and (22, 44).
Negative factor pairs of 968: (-1, -968), (-2, -484), (-4, -242), (-11, -88), and (-22, -44).
Common Mistakes and How to Avoid Them in Factors of 968
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 word. Always remember to include 1 and the number itself.
For example, in factors of 968, 1 and 968 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 968 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 968/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 968 are prime numbers.
For example, 2 and 11 are the prime factors of 968, but it has other factors like 4, 22.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 968 as 23 × 112 and missing all the key factors.
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Factors of 968 Examples
Problem 1
There are 11 employees and 968 tasks. How will they divide it equally?
They will get 88 tasks each.
Explanation
To divide the tasks equally, we need to divide the total tasks with the number of employees.
968 ÷ 11 = 88
Problem 2
A garden is rectangular, the length of the garden is 22 meters and the total area is 968 square meters. Find the width?
44 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
968 = 22 × width
To find the value of width, we need to shift 22 to the left side.
968 ÷ 22 = width
Width = 44.
Problem 3
There are 4 baskets and 968 apples. How many apples will be in each basket?
Each basket will have 242 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
968 ÷ 4 = 242
Problem 4
In a community, there are 968 members, and 22 teams. How many members are there in each team?
There are 44 members in each team.
Explanation
Dividing the members by the total teams, we will get the number of members in each team.
968 ÷ 22 = 44
Problem 5
968 pages need to be printed in 11 booklets. How many pages will go in each booklet?
Each of the booklets has 88 pages.
Explanation
Divide total pages by booklets.
968 ÷ 11 = 88
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FAQs on Factors of 968
1.What are the factors of 968?
2.Mention the prime factors of 968.
3.Is 968 a multiple of 4?
4.Mention the factor pairs of 968?
5.What is the square of 968?
6.How can children in Qatar use numbers in everyday life to understand Factors of 968?
7.What are some fun ways kids in Qatar can practice Factors of 968 with numbers?
8.What role do numbers and Factors of 968 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 968 skills?
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Important Glossaries for Factor of 968
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 968 are 1, 2, 4, 11, 22, 44, 121, 242, 484, and 968.
- Prime factors: The factors which are prime numbers. For example, 2 and 11 are prime factors of 968.
- 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 968 are (1, 968), (2, 484), etc.
- Prime factorization: Breaking down a number into its basic prime numbers that multiply to give the original number. For example, the prime factorization of 968 is 23 × 112.
- Negative factors: Factors that are negative counterparts of the positive factors. For example, the negative factors of 968 are -1, -2, -4, etc.
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About BrightChamps in Qatar
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.
