100 LearnersLast updated on May 26th, 2025
Factors of 956
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 956, how they are used in real life, and tips to learn them quickly.
What are the Factors of 956?
The numbers that divide 956 evenly are known as factors of 956.
A factor of 956 is a number that divides the number without remainder.
The factors of 956 are 1, 2, 4, 239, 478, and 956.
Negative factors of 956: -1, -2, -4, -239, -478, and -956.
Prime factors of 956: 2 and 239.
Prime factorization of 956: 2² × 239.
The sum of factors of 956: 1 + 2 + 4 + 239 + 478 + 956 = 1680
How to Find Factors of 956?
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 956. Identifying the numbers which are multiplied to get the number 956 is the multiplication method.
Step 1: Multiply 956 by 1, 956 × 1 = 956.
Step 2: Check for other numbers that give 956 after multiplying
2 × 478 = 956
4 × 239 = 956
Therefore, the positive factor pairs of 956 are: (1, 956), (2, 478), and (4, 239).
All these factor pairs result in 956.
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 result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 956 by 1, 956 ÷ 1 = 956.
Step 2: Continue dividing 956 by the numbers until the remainder becomes 0.
956 ÷ 1 = 956
956 ÷ 2 = 478
956 ÷ 4 = 239
Therefore, the factors of 956 are: 1, 2, 4, 239, 478, 956.
Prime Factors and Prime Factorization
The factors can be found by dividing it with 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 956 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
956 ÷ 2 = 478
478 ÷ 2 = 239
239 ÷ 239 = 1
The prime factors of 956 are 2 and 239.
The prime factorization of 956 is: 2² × 239.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 956 is divided by 2 to get 478.
Step 2: Now divide 478 by 2 to get 239.
Step 3: 239 is a prime number and cannot be divided further.
So, the prime factorization of 956 is: 2² × 239.
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 956: (1, 956), (2, 478), (4, 239).
Negative factor pairs of 956: (-1, -956), (-2, -478), (-4, -239).
Common Mistakes and How to Avoid Them in Factors of 956
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 956, 1 and 956 are also factors.
Factors of 956 Examples
Problem 1
There are 478 children and 956 apples. How will they share it equally?
They will get 2 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of children.
956/478 = 2
Problem 2
A rectangular plot has a width of 4 meters and a total area of 956 square meters. Find the length.
239 meters.
Explanation
To find the length of the plot, we use the formula,
Area = length × width
956 = length × 4
To find the value of length, we need to shift 4 to the left side.
956/4 = length
Length = 239.
Problem 3
There are 2 buses and 956 students. How many students can each bus carry?
Each bus will carry 478 students.
Explanation
To find the students in each bus, divide the total students by the buses.
956/2 = 478
Problem 4
In a school, there are 956 students, and 4 classes. How many students are there in each class?
There are 239 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
956/4 = 239
Problem 5
956 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 478 books.
Explanation
Divide total books by shelves.
956/2 = 478
FAQs on Factors of 956
1.What are the factors of 956?
2.Mention the prime factors of 956.
3.Is 956 a multiple of 4?
4.Mention the factor pairs of 956?
5.What is the square of 956?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 956?
7.What are some fun ways kids in Vietnam can practice Factors of 956 with numbers?
8.What role do numbers and Factors of 956 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 956 skills?
Important Glossaries for Factor of 956
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 956 are 1, 2, 4, 239, 478, and 956.
- Prime factors: The factors which are prime numbers. For example, 2 and 239 are prime factors of 956.
- 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 956 are (1, 956), (2, 478), (4, 239).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 956 is 2² × 239.
- Multiple: A number that can be divided by another number without a remainder. For example, 956 is a multiple of 2.
Explore More numbers
Previous to Factors of 956
About BrightChamps in Vietnam
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.
