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
 

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

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
 

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.
 

 

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
 

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)

• 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.