136 LearnersLast updated on May 26th, 2025
Factors of 952
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.
What are the Factors of 952?
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.
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How to Find Factors of 952?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 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.
Finding Factors Using Division Method
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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 952
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 952, 1 and 952 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 952 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 952/1.5 = 634.666, 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 952 are prime numbers.
For example, 2 and 119 are the prime factors of 952, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 952 as 2³ × 119 and missing all the key factors.
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Factors of 952 Examples
Problem 1
There are 8 teams and 952 points. How will they divide it equally?
They will get 119 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
952/8 = 119
Problem 2
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.
Explanation
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.
Problem 3
There are 476 marbles and 2 boxes. How many marbles will be in each box?
Each box will have 238 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
476/2 = 238
Problem 4
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.
Explanation
Dividing the pages by the number of students, we will get the number of pages for each student.
952/119 = 8
Problem 5
952 items need to be placed in 2 containers. How many items will go in each container?
Each of the containers has 476 items.
Explanation
Divide total items by containers.
952/2 = 476
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FAQs on Factors of 952
1.What are the factors of 952?
2.Mention the prime factors of 952.
3.Is 952 a multiple of 4?
4.Mention the factor pairs of 952?
5.What is the square of 952?
6.How can children in Qatar use numbers in everyday life to understand Factors of 952?
7.What are some fun ways kids in Qatar can practice Factors of 952 with numbers?
8.What role do numbers and Factors of 952 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 952 skills?
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Important Glossaries for Factors of 952
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 952 are 1, 2, 4, 8, 119, 238, 476, and 952.
- Prime Factors: The factors which are prime numbers. For example, 2 and 119 are prime factors of 952.
- 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 952 are (1, 952), (2, 476), etc.
- Prime Factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 952 is 2³ × 119.
- Multiple: A number that can be divided by another number without a remainder. For example, 952 is a multiple of 4.
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About BrightChamps in Qatar
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.
