100 LearnersLast updated on May 26th, 2025
Factors of 948
Factors are numbers that divide any given number evenly without a 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 948, how they are used in real life, and tips to learn them quickly.
What are the Factors of 948?
The numbers that divide 948 evenly are known as factors of 948.
A factor of 948 is a number that divides the number without a remainder.
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, and 948.
Negative factors of 948: -1, -2, -3, -4, -6, -12, -79, -158, -237, -316, -474, and -948.
Prime factors of 948: 2, 3, and 79.
Prime factorization of 948: 2 × 2 × 3 × 79.
The sum of factors of 948: 1 + 2 + 3 + 4 + 6 + 12 + 79 + 158 + 237 + 316 + 474 + 948 = 2240
How to Find Factors of 948?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 948. Identifying the numbers that are multiplied to get the number 948 is the multiplication method.
Step 1: Multiply 948 by 1, 948 × 1 = 948.
Step 2: Check for other numbers that give 948 after multiplying
2 × 474 = 948
3 × 316 = 948
4 × 237 = 948
6 × 158 = 948
12 × 79 = 948
Therefore, the positive factor pairs of 948 are: (1, 948), (2, 474), (3, 316), (4, 237), (6, 158), (12, 79).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 the simple division method -
Step 1: Divide 948 by 1, 948 ÷ 1 = 948.
Step 2: Continue dividing 948 by the numbers until the remainder becomes 0.
948 ÷ 1 = 948
948 ÷ 2 = 474
948 ÷ 3 = 316
948 ÷ 4 = 237
948 ÷ 6 = 158
948 ÷ 12 = 79
Therefore, the factors of 948 are: 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948.
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 948 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
948 ÷ 2 = 474
474 ÷ 2 = 237
237 ÷ 3 = 79
79 ÷ 79 = 1
The prime factors of 948 are 2, 3, and 79.
The prime factorization of 948 is: 2 × 2 × 3 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 948 is divided by 2 to get 474.
Step 2: Now divide 474 by 2 to get 237.
Step 3: Then divide 237 by 3 to get 79.
Here, 79 is a prime number and cannot be divided further.
So, the prime factorization of 948 is: 2 × 2 × 3 × 79.
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 948: (1, 948), (2, 474), (3, 316), (4, 237), (6, 158), (12, 79).
Negative factor pairs of 948: (-1, -948), (-2, -474), (-3, -316), (-4, -237), (-6, -158), (-12, -79).
Common Mistakes and How to Avoid Them in Factors of 948
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 948, 1 and 948 are also factors.
Factors of 948 Examples
Problem 1
There are 12 workers and 948 bricks. How will they divide them equally?
They will get 79 bricks each.
Explanation
To divide the bricks equally, we need to divide the total bricks by the number of workers.
948/12 = 79
Problem 2
A rectangular garden has a length of 6 meters and a total area of 948 square meters. Find the width?
158 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
948 = 6 × width
To find the value of the width, we need to shift 6 to the left side.
948/6 = width
Width = 158.
Problem 3
There are 3 groups of athletes and 948 water bottles. How many water bottles will each group get?
Each group will get 316 water bottles.
Explanation
To find the water bottles for each group, divide the total water bottles by the groups.
948/3 = 316
Problem 4
In a hall, there are 948 chairs and 4 rows. How many chairs are there in each row?
There are 237 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
948/4 = 237
Problem 5
948 books need to be distributed across 6 shelves. How many books will go on each shelf?
Each of the shelves has 158 books.
Explanation
Divide total books by shelves.
948/6 = 158
FAQs on Factors of 948
1.What are the factors of 948?
2.Mention the prime factors of 948.
3.Is 948 a multiple of 6?
4.Mention the factor pairs of 948?
5.What is the square of 948?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 948?
7.What are some fun ways kids in Vietnam can practice Factors of 948 with numbers?
8.What role do numbers and Factors of 948 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 948 skills?
Important Glossaries for Factor of 948
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, and 948.
- Prime Factors: The factors which are prime numbers. For example, 2, 3, and 79 are prime factors of 948.
- 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 948 are (1, 948), (2, 474), etc.
- Prime Factorization: Breaking down a number into its prime factors. For instance, 948 can be expressed as 2 × 2 × 3 × 79.
- Multiplication Method: A method to find factors by identifying number pairs that multiply to give the original number. For example, using 6 × 158 to find factors of 948.
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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.
