Last updated on May 26th, 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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 122 students and 976 pencils. How will the pencils be divided equally among the students?
Each student will get 8 pencils.
To divide the pencils equally, we need to divide the total pencils by the number of students.
976/122 = 8
A rectangular garden has a length of 16 meters and a total area of 976 square meters. What is the width?
61 meters.
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.
There are 244 seats in a theater and 976 tickets. How many tickets will each seat have?
Each seat will have 4 tickets.
To find the tickets for each seat, divide the total tickets by the seats.
976/244 = 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.
Dividing the items with the total boxes, we will get the number of items in each box.
976/61 = 16
976 books need to be arranged on 8 shelves. How many books will go on each shelf?
Each of the shelves has 122 books.
Divide total books by shelves.
976/8 = 122
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.
: She loves to read number jokes and games.