Factors of 976
2026-02-28 11:44 Diff
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Last updated on December 12, 2025

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

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.

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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: 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.

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Problem 1

There are 122 students and 976 pencils. How will the pencils be divided equally among the students?

Okay, lets begin

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

Well explained 👍

Problem 2

A rectangular garden has a length of 16 meters and a total area of 976 square meters. What is the width?

Okay, lets begin

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.

Well explained 👍

Problem 3

There are 244 seats in a theater and 976 tickets. How many tickets will each seat have?

Okay, lets begin

Each seat will have 4 tickets.

Explanation

To find the tickets for each seat, divide the total tickets by the seats.

976/244 = 4

Well explained 👍

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?

Okay, lets begin

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

Well explained 👍

Problem 5

976 books need to be arranged on 8 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 122 books.

Explanation

Divide total books by shelves.

976/8 = 122

Well explained 👍

FAQs on Factors of 976

1.What are the factors of 976?

1, 2, 4, 8, 16, 61, 122, 244, 488, 976 are the factors of 976.

2.Mention the prime factors of 976.

The prime factors of 976 are 2^4 × 61.

3.Is 976 a multiple of 16?

4.Mention the factor pairs of 976?

(1, 976), (2, 488), (4, 244), (8, 122), and (16, 61) are the factor pairs of 976.

5.What is the square of 976?

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.