100 LearnersLast updated on May 26th, 2025
Factors of 314
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 314, how they are used in real life, and tips to learn them quickly.
What are the Factors of 314?
The numbers that divide 314 evenly are known as factors of 314.
A factor of 314 is a number that divides the number without remainder.
The factors of 314 are 1, 2, 157, and 314.
Negative factors of 314: -1, -2, -157, and -314.
Prime factors of 314: 2 and 157.
Prime factorization of 314: 2 × 157.
The sum of factors of 314: 1 + 2 + 157 + 314 = 474
How to Find Factors of 314?
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 314. Identifying the numbers which are multiplied to get the number 314 is the multiplication method.
Step 1: Multiply 314 by 1, 314 × 1 = 314.
Step 2: Check for other numbers that give 314 after multiplying. 2 × 157 = 314
Therefore, the positive factor pairs of 314 are: (1, 314) and (2, 157).
All these factor pairs result in 314.
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 a simple division method -
Step 1: Divide 314 by 1, 314 ÷ 1 = 314.
Step 2: Continue dividing 314 by the numbers until the remainder becomes 0.
314 ÷ 1 = 314
314 ÷ 2 = 157
Therefore, the factors of 314 are: 1, 2, 157, 314.
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 314 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
314 ÷ 2 = 157
157 ÷ 157 = 1
The prime factors of 314 are 2 and 157.
The prime factorization of 314 is: 2 × 157.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 314 is divided by 2 to get 157.
Step 2: 157 is a prime number and cannot be divided further by any number other than 1 and itself. So, the prime factorization of 314 is: 2 × 157.
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 314: (1, 314) and (2, 157).
Negative factor pairs of 314: (-1, -314) and (-2, -157).
Common Mistakes and How to Avoid Them in Factors of 314
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 314, 1 and 314 are also factors.
Factors of 314 Examples
Problem 1
There are 2 teams and 314 apples. How will they divide it equally?
They will get 157 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of teams.
314/2 = 157
Problem 2
A rectangular garden has an area of 314 square meters and one side measuring 2 meters. What is the length of the other side?
157 meters.
Explanation
To find the other side of the garden, we use the formula, Area = length × width
314 = 2 × width
To find the value of width, we need to divide 314 by 2.
314/2 = width
Width = 157.
Problem 3
There are 157 boxes and 314 oranges. How many oranges will be in each box?
Each box will have 2 oranges.
Explanation
To find the oranges in each box, divide the total oranges with the boxes.
314/157 = 2
Problem 4
In a class, there are 314 students, and 1 teacher. How many students are there for each teacher?
There are 314 students for each teacher.
Explanation
Since there's only one teacher, the number of students per teacher is the total number of students.
314/1 = 314
Problem 5
314 books need to be arranged in stacks of 2. How many stacks will be formed?
157 stacks will be formed.
Explanation
Divide total books with stacks.
314/2 = 157
FAQs on Factors of 314
1.What are the factors of 314?
2.Mention the prime factors of 314.
3.Is 314 a multiple of 2?
4.Mention the factor pairs of 314?
5.What is the square of 314?
6.How can children in Canada use numbers in everyday life to understand Factors of 314?
7.What are some fun ways kids in Canada can practice Factors of 314 with numbers?
8.What role do numbers and Factors of 314 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 314 skills?
Important Glossaries for Factor of 314
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 314 are 1, 2, 157, and 314.
- Prime factors: The factors which are prime numbers. For example, 2 and 157 are prime factors of 314.
- 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 314 are (1, 314) and (2, 157).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 314 is 2 × 157.
- Negative factors: Factors of a number that are negative. For example, for 314, the negative factors are -1, -2, -157, and -314.
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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.
