100 LearnersLast updated on May 26th, 2025
Factors of 395
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 395, how they are used in real life, and tips to learn them quickly.
What are the Factors of 395?
The numbers that divide 395 evenly are known as factors of 395.
A factor of 395 is a number that divides the number without remainder.
The factors of 395 are 1, 5, 79, and 395.
Negative factors of 395: -1, -5, -79, and -395.
Prime factors of 395: 5 and 79.
Prime factorization of 395: 5 × 79.
The sum of factors of 395: 1 + 5 + 79 + 395 = 480
How to Find Factors of 395?
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 395. Identifying the numbers which are multiplied to get the number 395 is the multiplication method.
Step 1: Multiply 395 by 1, 395 × 1 = 395.
Step 2: Check for other numbers that give 395 after multiplying 5 × 79 = 395
Therefore, the positive factor pairs of 395 are: (1, 395) and (5, 79).
All these factor pairs result in 395.
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 395 by 1, 395 ÷ 1 = 395.
Step 2: Continue dividing 395 by the numbers until the remainder becomes 0.
395 ÷ 1 = 395
395 ÷ 5 = 79
Therefore, the factors of 395 are: 1, 5, 79, 395.
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 395 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
395 ÷ 5 = 79
79 ÷ 79 = 1
The prime factors of 395 are 5 and 79.
The prime factorization of 395 is: 5 × 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, 395 is divided by 5 to get 79.
Step 2: 79 is itself a prime number and cannot be divided further.
So, the prime factorization of 395 is: 5 × 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 395: (1, 395) and (5, 79).
Negative factor pairs of 395: (-1, -395) and (-5, -79).
Common Mistakes and How to Avoid Them in Factors of 395
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 395, 1 and 395 is also a factor.
Factors of 395 Examples
Problem 1
There are 5 students and 395 pencils. How will they divide them equally?
They will get 79 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
395/5 = 79
Problem 2
A garden is rectangular, the length of the garden is 79 meters and the total area is 395 square meters. Find the width?
5 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 395 = 79 × width
To find the value of width, we need to shift 79 to the left side.
395/79 = width
Width = 5.
Problem 3
There are 79 tables and 395 chairs. How many chairs will be at each table?
Each table will have 5 chairs.
Explanation
To find the chairs at each table, divide the total chairs by the tables.
395/79 = 5
Problem 4
In a seminar, there are 395 participants, and 5 groups. How many participants are there in each group?
There are 79 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
395/5 = 79
Problem 5
395 books need to be arranged in 5 boxes. How many books will go in each box?
Each of the boxes will have 79 books.
Explanation
Divide total books by boxes.
395/5 = 79
FAQs on Factors of 395
1.What are the factors of 395?
2.Mention the prime factors of 395.
3.Is 395 a multiple of 79?
4.Mention the factor pairs of 395?
5.What is the square of 395?
6.How can children in Australia use numbers in everyday life to understand Factors of 395?
7.What are some fun ways kids in Australia can practice Factors of 395 with numbers?
8.What role do numbers and Factors of 395 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 395 skills?
Important Glossaries for Factors of 395
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 395 are 1, 5, 79, and 395.
- Prime factors: The factors which are prime numbers. For example, 5 and 79 are prime factors of 395.
- 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 395 are (1, 395) and (5, 79).
- Prime factorization: The process of determining the prime numbers that multiply together to give the original number. For example, the prime factorization of 395 is 5 × 79.
- Multiple: A multiple is the result of multiplying a number by an integer. For example, 395 is a multiple of 5 and 79.
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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.
