100 LearnersLast updated on May 26th, 2025
Factors of 1395
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 1395, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1395?
The numbers that divide 1395 evenly are known as factors of 1395.
A factor of 1395 is a number that divides the number without remainder.
The factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, and 1395.
Negative factors of 1395: -1, -3, -5, -9, -15, -31, -45, -93, -155, -279, -465, and -1395.
Prime factors of 1395: 3, 5, and 31.
Prime factorization of 1395: 3 × 5 × 31.
The sum of factors of 1395: 1 + 3 + 5 + 9 + 15 + 31 + 45 + 93 + 155 + 279 + 465 + 1395 = 2496
How to Find Factors of 1395?
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 1395. Identifying the numbers which are multiplied to get the number 1395 is the multiplication method.
Step 1: Multiply 1395 by 1, 1395 × 1 = 1395.
Step 2: Check for other numbers that give 1395 after multiplying
3 × 465 = 1395
5 × 279 = 1395
9 × 155 = 1395
15 × 93 = 1395
31 × 45 = 1395
Therefore, the positive factor pairs of 1395 are: (1, 1395), (3, 465), (5, 279), (9, 155), (15, 93), (31, 45).
All these factor pairs result in 1395.
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 1395 by 1, 1395 ÷ 1 = 1395.
Step 2: Continue dividing 1395 by the numbers until the remainder becomes 0.
1395 ÷ 1 = 1395
1395 ÷ 3 = 465
1395 ÷ 5 = 279
1395 ÷ 9 = 155
1395 ÷ 15 = 93
1395 ÷ 31 = 45
Therefore, the factors of 1395 are: 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395.
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 factor tree
Using Prime Factorization: In this process, prime factors of 1395 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1395 ÷ 3 = 465
465 ÷ 3 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1
The prime factors of 1395 are 3, 5, and 31.
The prime factorization of 1395 is: 3 × 5 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1395 is divided by 3 to get 465.
Step 2: Now divide 465 by 3 to get 155.
Step 3: Then divide 155 by 5 to get 31. Here, 31 is a prime number that cannot be divided anymore.
So, the prime factorization of 1395 is: 3 × 5 × 31.
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 1395: (1, 1395), (3, 465), (5, 279), (9, 155), (15, 93), and (31, 45).
Negative factor pairs of 1395: (-1, -1395), (-3, -465), (-5, -279), (-9, -155), (-15, -93), and (-31, -45).
Common Mistakes and How to Avoid Them in Factors of 1395
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 1395, 1 and 1395 are also factors.
Factors of 1395 Examples
Problem 1
There are 15 teams and 1395 points. How will they distribute the points equally?
They will get 93 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1395/15 = 93
Problem 2
A rectangular garden has a length of 31 meters and a total area of 1395 square meters. Find the width.
45 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1395 = 31 × width
To find the value of the width, we need to shift 31 to the left side.
1395/31 = width
Width = 45.
Problem 3
There are 279 students and 1395 books. How many books will each student get?
Each student will get 5 books.
Explanation
To find the books each student will get, divide the total books by the number of students.
1395/279 = 5
Problem 4
In a seminar, there are 465 attendees and 1395 pamphlets. How many pamphlets are there per attendee?
There are 3 pamphlets per attendee.
Explanation
Dividing the pamphlets by the total attendees, we will get the number of pamphlets per attendee.
1395/465 = 3
Problem 5
1395 documents need to be divided among 93 employees. How many documents will each employee receive?
Each employee will receive 15 documents.
Explanation
Divide total documents by the number of employees.
1395/93 = 15
FAQs on Factors of 1395
1.What are the factors of 1395?
2.Mention the prime factors of 1395.
3.Is 1395 a multiple of 9?
4.Mention the factor pairs of 1395?
5.What is the square of 1395?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1395?
7.What are some fun ways kids in Bahrain can practice Factors of 1395 with numbers?
8.What role do numbers and Factors of 1395 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1395 skills?
Important Glossaries for Factor of 1395
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, and 1395.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 31 are prime factors of 1395.
- 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 1395 are (1, 1395), (3, 465), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1395 is 3 × 5 × 31.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1395 is a multiple of 279.
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About BrightChamps in Bahrain
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.
