101 LearnersLast updated on May 26th, 2025
Factors of 316
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 316, how they are used in real life, and tips to learn them quickly.
What are the Factors of 316?
The numbers that divide 316 evenly are known as factors of 316.
A factor of 316 is a number that divides the number without remainder.
The factors of 316 are 1, 2, 4, 79, 158, and 316.
Negative factors of 316: -1, -2, -4, -79, -158, and -316.
Prime factors of 316: 2 and 79.
Prime factorization of 316: 2 × 2 × 79.
The sum of factors of 316: 1 + 2 + 4 + 79 + 158 + 316 = 560
How to Find Factors of 316?
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 316. Identifying the numbers which are multiplied to get the number 316 is the multiplication method.
Step 1: Multiply 316 by 1, 316 × 1 = 316.
Step 2: Check for other numbers that give 316 after multiplying 2 × 158 = 316 4 × 79 = 316
Therefore, the positive factor pairs of 316 are: (1, 316), (2, 158), and (4, 79).
All these factor pairs result in 316.
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 316 by 1, 316 ÷ 1 = 316.
Step 2: Continue dividing 316 by the numbers until the remainder becomes 0.
316 ÷ 1 = 316
316 ÷ 2 = 158
316 ÷ 4 = 79
Therefore, the factors of 316 are: 1, 2, 4, 79, 158, 316.
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 316 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
316 ÷ 2 = 158
158 ÷ 2 = 79
79 ÷ 79 = 1
The prime factors of 316 are 2 and 79.
The prime factorization of 316 is: 2 × 2 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 316 is divided by 2 to get 158.
Step 2: Now divide 158 by 2 to get 79.
Step 3: 79 is a prime number that cannot be divided anymore. So, the prime factorization of 316 is: 2 × 2 × 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 316: (1, 316), (2, 158), and (4, 79).
Negative factor pairs of 316: (-1, -316), (-2, -158), and (-4, -79).
Common Mistakes and How to Avoid Them in Factors of 316
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 word. Always remember to include 1 and the number itself.
For example, in factors of 316, 1 and 316 are also factors.
Factors of 316 Examples
Problem 1
There are 4 teams and 316 marbles. How will they divide them equally?
They will get 79 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
316/4 = 79
Problem 2
A rectangular garden has a width of 2 meters and a total area of 316 square meters. Find the length.
158 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width
316 = length × 2
To find the value of the length, we need to shift 2 to the left side. 316/2 = length
Length = 158.
Problem 3
There are 158 candies and 2 jars. How many candies will be in each jar?
Each jar will have 79 candies.
Explanation
To find the candies in each jar, divide the total candies by the jars. 158/2 = 79
Problem 4
In a class, there are 316 students, and 79 groups. How many students are there in each group?
There are 4 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
316/79 = 4
Problem 5
316 plants need to be arranged in 79 rows. How many plants will go in each row?
Each of the rows has 4 plants.
Explanation
Divide total plants by rows.
316/79 = 4
FAQs on Factors of 316
1.What are the factors of 316?
2.Mention the prime factors of 316.
3.Is 316 a multiple of 4?
4.Mention the factor pairs of 316?
5.What is the square of 316?
6.How can children in Canada use numbers in everyday life to understand Factors of 316?
7.What are some fun ways kids in Canada can practice Factors of 316 with numbers?
8.What role do numbers and Factors of 316 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 316 skills?
Important Glossaries for Factors of 316
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 316 are 1, 2, 4, 79, 158, and 316.
- Prime factors: The factors which are prime numbers. For example, 2 and 79 are prime factors of 316.
- 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 316 are (1, 316), (2, 158), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For 316, it is 2 × 2 × 79.
- Composite number: A number with more than two factors. For example, 316 is a composite number.
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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.
