286 LearnersLast updated on May 26th, 2025
Factors of 135
The factors of 135 are whole numbers. There are 3 factors that will divide 135 completely. Leaving no remainder. Factors are used in finding out the correct proportions of ingredients in cooking.
What are the factors of 135
The factors of 135 are 1, 3, 5, 9, 15, 27, 45 and 135.
Negative Factors - These are negative counterparts of the positive factors.
Negative factors: -1, -3, -5, -9, -15, -27, -45, -135
Prime Factors- Prime factors are the prime numbers when multiplied together, giving 135 as the product.
Prime factors: 3,5
Prime Factorization- Prime factorization involves breaking 15 into its prime factors
It is expressed as 33x 5
How to Find the Factors of 135
There are different method to find the factors of 135
Methods to find the factors of 135
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
The multiplication method finds the pair of factors that give 135 as their product.
Step-by-step process
Step 1: Find the pair of numbers whose product is 135.
Step 2: The factors are those numbers, when multiplied, give 20.
Step 3: Make a list of numbers whose product will be 135.
A list of numbers whose products are 135 is given below:
1 × 135 =135
3 × 45 = 135
5 × 27 = 135
9 × 15 = 135
Finding Factors Using Division Method
The division method finds the numbers that fully divide the given number.
Step-by-step process
Step 1: Since every number is divided by 1, 1 will always be its factor. Example: 135 / 1 = 135.
Step 2: Move to the next integer. Both divisor and quotient are the factors.
Prime Factors and Factorization
Multiplying prime numbers to get the given number as their product is called prime factors. Prime factorization is breaking down the number into its prime factors.
Prime Factors of 135:
Step 1: Divide 135 with the smallest prime number 5
135÷5 = 5
5÷5 = 1
Prime Factorization of 135- Prime Factorization breaks down the prime factors of 135
Expressed as 33x 5
Factor tree
The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.
Factors of 135 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.
Positive Factor Pairs: (1, 135), (3,45), (5, 27), (9,15)
Negative Factor Pairs: (-1, -135), (-3,-45), (-5, -27), (-9,-15)
Common Mistakes and How to Avoid Them in Factors of 13
Mistakes can occur while finding the factors. Learn about the common errors that can occur. Solutions to solve the common mistakes are given below
Mistake 1
Making mistakes on prime factorization
Some students forget to factor 135 into its prime components and instead try to by guessing. So, always start by breaking 135 down using prime factorization.
Mistake 2
Missing out the factor pairs
Students sometimes used to pick only smaller factors and won’t consider their corresponding pair. So, remember that every factor has a corresponding pair and after finding a factor, divide 135 by that factor to get its pair.
Mistake 3
No clear consideration about prime number
Students think 135 as a prime number. The prime numbers are divisible only by 1 and themselves. 135 is divisible by numbers like 3, 5 and by other numbers, so be clear with prime numbers.
Mistake 4
No proper checking of divisibility rules
Some students won’t consider divisibility by smaller primes like 3 or 5, thinking they only check larger numbers.
FAQs on Factors of 135
1.What pairs multiply to 135?
2.What is 135 divisible by?
3.What are the multiples of 135?
4.What is the HCF of 135 and 255?
5.How can children in India use numbers in everyday life to understand Factors of 135?
6.What are some fun ways kids in India can practice Factors of 135 with numbers?
7.What role do numbers and Factors of 135 play in helping children in India develop problem-solving skills?
8.How can families in India create number-rich environments to improve Factors of 135 skills?
Important Glossaries for Factors of 135
- Factors - These are numbers that divide the given number without leaving any remainder.
- Prime Factorization - It involves breaking the number into its prime factors.
- Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.
- Composite numbers - These are numbers having more than two factors.
- Multiple - It is a product of the given number and any other integer.
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About BrightChamps in India
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.
