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 968, how they are used in real life, and tips to learn them quickly.
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
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 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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
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 11 employees and 968 tasks. How will they divide it equally?
They will get 88 tasks each.
To divide the tasks equally, we need to divide the total tasks with the number of employees.
968 ÷ 11 = 88
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.
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.
There are 4 baskets and 968 apples. How many apples will be in each basket?
Each basket will have 242 apples.
To find the apples in each basket, divide the total apples by the baskets.
968 ÷ 4 = 242
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.
Dividing the members by the total teams, we will get the number of members in each team.
968 ÷ 22 = 44
968 pages need to be printed in 11 booklets. How many pages will go in each booklet?
Each of the booklets has 88 pages.
Divide total pages by booklets.
968 ÷ 11 = 88
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.