102 LearnersLast updated on May 26th, 2025
Factors of 305
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 305, how they are used in real life, and tips to learn them quickly.
What are the Factors of 305?
The numbers that divide 305 evenly are known as factors of 305.
A factor of 305 is a number that divides the number without a remainder.
The factors of 305 are 1, 5, 61, and 305.
Negative factors of 305: -1, -5, -61, and -305.
Prime factors of 305: 5 and 61.
Prime factorization of 305: 5 × 61.
The sum of factors of 305: 1 + 5 + 61 + 305 = 372
How to Find Factors of 305?
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 305. Identifying the numbers that are multiplied to get the number 305 is the multiplication method.
Step 1: Multiply 305 by 1, 305 × 1 = 305.
Step 2: Check for other numbers that give 305 after multiplying
5 × 61 = 305
Therefore, the positive factor pairs of 305 are: (1, 305) and (5, 61).
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 305 by 1, 305 ÷ 1 = 305.
Step 2: Continue dividing 305 by the numbers until the remainder becomes 0.
305 ÷ 1 = 305
305 ÷ 5 = 61
Therefore, the factors of 305 are: 1, 5, 61, and 305.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 305 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
305 ÷ 5 = 61
61 ÷ 61 = 1
The prime factors of 305 are 5 and 61.
The prime factorization of 305 is: 5 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 305 is divided by 5 to get 61.
Step 2: Now divide 61 by 61 to get 1. Here, 61 is a prime number, so it cannot be divided anymore. So, the prime factorization of 305 is: 5 × 61.
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 305: (1, 305) and (5, 61).
Negative factor pairs of 305: (-1, -305) and (-5, -61).
Common Mistakes and How to Avoid Them in Factors of 305
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 305, 1 and 305 are also factors.
Factors of 305 Examples
Problem 1
There are 5 friends and 305 candies. How will they divide it equally?
They will get 61 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
305 ÷ 5 = 61
Problem 2
A field is rectangular, the length of the field is 5 meters and the total area is 305 square meters. Find the width?
61 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
305 = 5 × width
To find the value of the width, we need to shift 5 to the left side.
305/5 = width
Width = 61.
Problem 3
There are 61 bags and 305 apples. How many apples will be in each bag?
Each bag will have 5 apples.
Explanation
To find the apples in each bag, divide the total apples by the bags.
305 ÷ 61 = 5
Problem 4
In a class, there are 305 students, and 5 groups. How many students are there in each group?
There are 61 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
305 ÷ 5 = 61
Problem 5
305 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 61 books.
Explanation
Divide total books by shelves.
305 ÷ 5 = 61
FAQs on Factors of 305
1.What are the factors of 305?
2.Mention the prime factors of 305.
3.Is 305 a multiple of 5?
4.Mention the factor pairs of 305?
5.What is the square of 305?
6.How can children in Canada use numbers in everyday life to understand Factors of 305?
7.What are some fun ways kids in Canada can practice Factors of 305 with numbers?
8.What role do numbers and Factors of 305 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 305 skills?
Important Glossaries for Factors of 305
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 305 are 1, 5, 61, and 305.
- Prime factors: The factors which are prime numbers. For example, 5 and 61 are prime factors of 305.
- 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 305 are (1, 305) and (5, 61).
- Prime factorization: The expression of a number as the product of its prime factors. For example, 305 = 5 × 61.
- Negative factors: The negative counterparts of positive factors. For example, -1, -5, -61, and -305 are negative factors of 305.
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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.
