121 LearnersLast updated on May 26th, 2025
Factors of 976
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 976, how they are used in real life, and tips to learn them quickly.
What are the Factors of 976?
The numbers that divide 976 evenly are known as factors of 976.
A factor of 976 is a number that divides the number without remainder.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, and 976.
Negative factors of 976: -1, -2, -4, -8, -16, -61, -122, -244, -488, and -976.
Prime factors of 976: 2 and 61.
Prime factorization of 976: 24 × 61.
The sum of factors of 976: 1 + 2 + 4 + 8 + 16 + 61 + 122 + 244 + 488 + 976 = 1922
How to Find Factors of 976?
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 976. Identifying the numbers which are multiplied to get the number 976 is the multiplication method.
Step 1: Multiply 976 by 1, 976 × 1 = 976.
Step 2: Check for other numbers that give 976 after multiplying
2 × 488 = 976
4 × 244 = 976
8 × 122 = 976
16 × 61 = 976
Therefore, the positive factor pairs of 976 are: (1, 976), (2, 488), (4, 244), (8, 122), (16, 61).
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 976 by 1, 976 ÷ 1 = 976.
Step 2: Continue dividing 976 by the numbers until the remainder becomes 0.
976 ÷ 1 = 976
976 ÷ 2 = 488
976 ÷ 4 = 244
976 ÷ 8 = 122
976 ÷ 16 = 61
Therefore, the factors of 976 are: 1, 2, 4, 8, 16, 61, 122, 244, 488, 976.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 976 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
976 ÷ 2 = 488
488 ÷ 2 = 244
244 ÷ 2 = 122
122 ÷ 2 = 61
61 ÷ 61 = 1
The prime factors of 976 are 2 and 61.
The prime factorization of 976 is: 24 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 976 is divided by 2 to get 488.
Step 2: Now divide 488 by 2 to get 244.
Step 3: Then divide 244 by 2 to get 122.
Step 4: Divide 122 by 2 to get 61. Here, 61 is a prime number that cannot be divided anymore. So, the prime factorization of 976 is: 24 × 61.
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 976: (1, 976), (2, 488), (4, 244), (8, 122), and (16, 61).
Negative factor pairs of 976: (-1, -976), (-2, -488), (-4, -244), (-8, -122), and (-16, -61).
Common Mistakes and How to Avoid Them in Factors of 976
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 976, 1 and 976 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 976 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a fraction. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 976/1.5 = 650.666, and it 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 976 are prime numbers.
For example, 2 and 61 are the prime factors of 976, but it has other factors like 4, 16.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 976 as 2^4 × 61 and missing all the key factors.
Factors of 976 Examples
Problem 1
There are 122 students and 976 pencils. How will the pencils be divided equally among the students?
Each student will get 8 pencils.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
976/122 = 8
Problem 2
A rectangular garden has a length of 16 meters and a total area of 976 square meters. What is the width?
61 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
976 = 16 × width
To find the value of width, we need to shift 16 to the left side.
976/16 = width
Width = 61.
Problem 3
There are 244 seats in a theater and 976 tickets. How many tickets will each seat have?
Each seat will have 4 tickets.
Explanation
To find the tickets for each seat, divide the total tickets by the seats.
976/244 = 4
Problem 4
In a warehouse, there are 976 items, and they need to be packed into 61 boxes. How many items will be in each box?
There are 16 items in each box.
Explanation
Dividing the items with the total boxes, we will get the number of items in each box.
976/61 = 16
Problem 5
976 books need to be arranged on 8 shelves. How many books will go on each shelf?
Each of the shelves has 122 books.
Explanation
Divide total books by shelves.
976/8 = 122
FAQs on Factors of 976
1.What are the factors of 976?
2.Mention the prime factors of 976.
3.Is 976 a multiple of 16?
4.Mention the factor pairs of 976?
5.What is the square of 976?
6.How can children in India use numbers in everyday life to understand Factors of 976?
7.What are some fun ways kids in India can practice Factors of 976 with numbers?
8.What role do numbers and Factors of 976 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 976 skills?
Important Glossaries for Factor of 976
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, and 976.
- Prime factors: The factors which are prime numbers. For example, 2 and 61 are prime factors of 976.
- 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 976 are (1, 976), (2, 488), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 976 is 24 × 61.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number. For example, using (16, 61) to find factors of 976.
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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.
