102 LearnersLast updated on May 26th, 2025
Factors of 318
Factors are the 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 318, how they are used in real life, and tips to learn them quickly.
What are the Factors of 318?
The numbers that divide 318 evenly are known as factors of 318.
A factor of 318 is a number that divides the number without remainder.
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, and 318.
Negative factors of 318: -1, -2, -3, -6, -53, -106, -159, and -318.
Prime factors of 318: 2, 3, and 53.
Prime factorization of 318: 2 × 3 × 53.
The sum of factors of 318: 1 + 2 + 3 + 6 + 53 + 106 + 159 + 318 = 648.
How to Find Factors of 318?
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 318. Identifying the numbers which are multiplied to get the number 318 is the multiplication method.
Step 1: Multiply 318 by 1, 318 × 1 = 318.
Step 2: Check for other numbers that give 318 after multiplying
2 × 159 = 318
3 × 106 = 318
6 × 53 = 318
Therefore, the positive factor pairs of 318 are: (1, 318), (2, 159), (3, 106), and (6, 53).
All these factor pairs result in 318. 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 simple division method -
Step 1: Divide 318 by 1, 318 ÷ 1 = 318.
Step 2: Continue dividing 318 by the numbers until the remainder becomes 0.
318 ÷ 1 = 318
318 ÷ 2 = 159
318 ÷ 3 = 106
318 ÷ 6 = 53
Therefore, the factors of 318 are: 1, 2, 3, 6, 53, 106, 159, and 318.
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 318 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
318 ÷ 2 = 159
159 ÷ 3 = 53
53 ÷ 53 = 1
The prime factors of 318 are 2, 3, and 53.
The prime factorization of 318 is: 2 × 3 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 318 is divided by 2 to get 159.
Step 2: Now divide 159 by 3 to get 53.
Step 3: Here, 53 is a prime number, that cannot be divided anymore.
So, the prime factorization of 318 is: 2 × 3 × 53.
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 318: (1, 318), (2, 159), (3, 106), and (6, 53).
Negative factor pairs of 318: (-1, -318), (-2, -159), (-3, -106), and (-6, -53).
Common Mistakes and How to Avoid Them in Factors of 318
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 number. Always remember to include 1 and the number itself.
For example, in factors of 318, 1 and 318 are also factors.
Factors of 318 Examples
Problem 1
There are 6 teams and 318 participants. How will they divide the participants equally?
They will have 53 participants in each team.
Explanation
To divide the participants equally, we need to divide the total participants with the number of teams.
318/6 = 53
Problem 2
A garden is rectangular, the length of the garden is 159 meters and the total area is 318 square meters. Find the width?
2 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
318 = 159 × width
To find the value of width, we need to shift 159 to the left side.
318/159 = width
Width = 2.
Problem 3
There are 106 baskets and 318 apples. How many apples will be in each basket?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
318/106 = 3
Problem 4
In a conference, there are 318 attendees, and 3 sessions. How many attendees are there in each session?
There are 106 attendees in each session.
Explanation
Dividing the attendees with the total sessions, we will get the number of attendees in each session.
318/3 = 106
Problem 5
318 books need to be arranged in 53 shelves. How many books will go on each shelf?
Each of the shelves has 6 books.
Explanation
Divide total books by shelves.
318/53 = 6
FAQs on Factors of 318
1.What are the factors of 318?
2.Mention the prime factors of 318.
3.Is 318 a multiple of 3?
4.Mention the factor pairs of 318?
5.What is the square of 318?
6.How can children in Canada use numbers in everyday life to understand Factors of 318?
7.What are some fun ways kids in Canada can practice Factors of 318 with numbers?
8.What role do numbers and Factors of 318 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 318 skills?
Important Glossaries for Factor of 318
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 318 are 1, 2, 3, 6, 53, 106, 159, and 318.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 53 are prime factors of 318.
- 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 318 are (1, 318), (2, 159), etc.
- Prime Factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 318 is 2 × 3 × 53.
- Multiplication Method: A method of finding factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method to find factors of 318 results in pairs like (2, 159).
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About BrightChamps in Canada
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.
