101 LearnersLast updated on May 26th, 2025
Factors of 302
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 302, how they are used in real life, and tips to learn them quickly.
What are the Factors of 302?
The numbers that divide 302 evenly are known as factors of 302.
A factor of 302 is a number that divides the number without a remainder.
The factors of 302 are 1, 2, 151, and 302.
Negative factors of 302: -1, -2, -151, and -302.
Prime factors of 302: 2 and 151.
Prime factorization of 302: 2 × 151.
The sum of factors of 302: 1 + 2 + 151 + 302 = 456
How to Find Factors of 302?
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 302. Identifying the numbers which are multiplied to get the number 302 is the multiplication method.
Step 1: Multiply 302 by 1, 302 × 1 = 302.
Step 2: Check for other numbers that give 302 after multiplying
2 × 151 = 302
Therefore, the positive factor pairs of 302 are: (1, 302) and (2, 151).
All these factor pairs result in 302.
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 302 by 1, 302 ÷ 1 = 302.
Step 2: Continue dividing 302 by the numbers until the remainder becomes 0.
302 ÷ 1 = 302
302 ÷ 2 = 151
Therefore, the factors of 302 are: 1, 2, 151, 302.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 302 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
302 ÷ 2 = 151
151 ÷ 151 = 1
The prime factors of 302 are 2 and 151.
The prime factorization of 302 is: 2 × 151.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 302 is divided by 2 to get 151.
Step 2: Here, 151 is a prime number and cannot be divided further. So, the prime factorization of 302 is: 2 × 151.
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 302: (1, 302) and (2, 151).
Negative factor pairs of 302: (-1, -302) and (-2, -151).
Common Mistakes and How to Avoid Them in Factors of 302
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 as 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 302, 1 and 302 are also factors.
Factors of 302 Examples
Problem 1
There are 2 families and 302 apples. How will they divide them equally?
They will get 151 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of families.
302/2 = 151
Problem 2
A rectangular room has a width of 151 meters and a total area of 302 square meters. Find the length.
2 meters.
Explanation
To find the length of the room, we use the formula,
Area = length × width
302 = length × 151
To find the value of length, we need to shift 151 to the left side.
302/151 = length
Length = 2.
Problem 3
There are 302 candies and 151 boxes. How many candies will be in each box?
Each box will have 2 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
302/151 = 2
Problem 4
In a class, there are 302 students, and 2 teachers. How many students are there per teacher?
There are 151 students per teacher.
Explanation
Dividing the students by the total teachers, we will get the number of students per teacher.
302/2 = 151
Problem 5
302 books need to be arranged in 151 shelves. How many books will go on each shelf?
Each shelf has 2 books.
Explanation
Divide total books by shelves.
302/151 = 2
FAQs on Factors of 302
1.What are the factors of 302?
2.Mention the prime factors of 302.
3.Is 302 a multiple of 2?
4.Mention the factor pairs of 302?
5.What is the square of 302?
6.How can children in Canada use numbers in everyday life to understand Factors of 302?
7.What are some fun ways kids in Canada can practice Factors of 302 with numbers?
8.What role do numbers and Factors of 302 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 302 skills?
Important Glossaries for Factors of 302
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 302 are 1, 2, 151, and 302.
- Prime Factors: The factors which are prime numbers. For example, 2 and 151 are prime factors of 302.
- 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 302 are (1, 302) and (2, 151).
- Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 302 is 2 × 151.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 302 is a multiple of 2.
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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.
