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 952, how they are used in real life, and tips to learn them quickly.
The numbers that divide 952 evenly are known as factors of 952.
A factor of 952 is a number that divides the number without remainder.
The factors of 952 are 1, 2, 4, 8, 119, 238, 476, and 952.
Negative factors of 952: -1, -2, -4, -8, -119, -238, -476, and -952.
Prime factors of 952: 2 and 119.
Prime factorization of 952: 2³ × 119.
The sum of factors of 952: 1 + 2 + 4 + 8 + 119 + 238 + 476 + 952 = 1800.
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 952. Identifying the numbers which are multiplied to get the number 952 is the multiplication method.
Step 1: Multiply 952 by 1, 952 × 1 = 952.
Step 2: Check for other numbers that give 952 after multiplying
2 × 476 = 952
4 × 238 = 952
8 × 119 = 952
Therefore, the positive factor pairs of 952 are: (1, 952), (2, 476), (4, 238), (8, 119).
All these factor pairs result in 952.
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 results as whole numbers as factors. Factors can be calculated by following simple division method -
Step 1: Divide 952 by 1, 952 ÷ 1 = 952.
Step 2: Continue dividing 952 by the numbers until the remainder becomes 0.
952 ÷ 1 = 952
952 ÷ 2 = 476
952 ÷ 4 = 238
952 ÷ 8 = 119
Therefore, the factors of 952 are: 1, 2, 4, 8, 119, 238, 476, 952.
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 952 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
952 ÷ 2 = 476
476 ÷ 2 = 238
238 ÷ 2 = 119
119 ÷ 119 = 1
The prime factors of 952 are 2 and 119.
The prime factorization of 952 is: 2³ × 119.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 952 is divided by 2 to get 476.
Step 2: Now divide 476 by 2 to get 238.
Step 3: Then divide 238 by 2 to get 119.
Here, 119 is a prime number, that cannot be divided anymore.
So, the prime factorization of 952 is: 2³ × 119.
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 952: (1, 952), (2, 476), (4, 238), and (8, 119).
Negative factor pairs of 952: (-1, -952), (-2, -476), (-4, -238), and (-8, -119).
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 8 teams and 952 points. How will they divide it equally?
They will get 119 points each.
To divide the points equally, we need to divide the total points by the number of teams.
952/8 = 119
A banner is rectangular, the length of the banner is 4 meters, and the total area is 952 square meters. Find the width?
238 meters.
To find the width of the banner, we use the formula,
Area = length × width
952 = 4 × width
To find the value of width, we need to shift 4 to the left side.
952/4 = width
Width = 238.
There are 476 marbles and 2 boxes. How many marbles will be in each box?
Each box will have 238 marbles.
To find the marbles in each box, divide the total marbles by the number of boxes.
476/2 = 238
In a class, there are 952 pages, and 119 students. How many pages are there for each student?
There are 8 pages for each student.
Dividing the pages by the number of students, we will get the number of pages for each student.
952/119 = 8
952 items need to be placed in 2 containers. How many items will go in each container?
Each of the containers has 476 items.
Divide total items by containers.
952/2 = 476
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.