# Factors of 135 in pair

Factors of 135 in pair are (1, 135) , (3, 45) , (5, 27) and (9, 15)

#### How to find factors of a number in pair

 1.   Steps to find factors of 135 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 135 in pair

Factor Pair Pair Factorization
1 and 135 1 x 135 = 135
3 and 45 3 x 45 = 135
5 and 27 5 x 27 = 135
9 and 15 9 x 15 = 135

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 135. They are called negative pair factors.

Hence, the negative pairs of 135 would be ( -1 , -135 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 135 are 1 , 3 , 5 , 9 , 15 , 27 , 45 , 135. So, factors of 135 in pair are (1,135), (3,45), (5,27), (9,15).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Every number is a factor of zero (0), since 135 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 15, 27, 45, 135 are exact divisors of 135.
• Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. Each factor divides 135 without leaving a remainder.

#### Steps to find Factors of 135

• Step 1. Find all the numbers that would divide 135 without leaving any remainder. Starting with the number 1 upto 67 (half of 135). The number 1 and the number itself are always factors of the given number.
135 ÷ 1 : Remainder = 0
135 ÷ 3 : Remainder = 0
135 ÷ 5 : Remainder = 0
135 ÷ 9 : Remainder = 0
135 ÷ 15 : Remainder = 0
135 ÷ 27 : Remainder = 0
135 ÷ 45 : Remainder = 0
135 ÷ 135 : Remainder = 0

Hence, Factors of 135 are 1, 3, 5, 9, 15, 27, 45, and 135

• Is 135 a composite number?

Yes 135 is a composite number.

• Is 135 a perfect square?

No 135 is not a perfect square.

• Write all odd factors of 135?

The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135.
Odd factors of 135 are 1 , 3 , 5 , 9 , 15 , 27 , 45 , 135.

• What is the mean of all prime factors of 135?

Factors of 135 are 1 , 3 , 5 , 9 , 15 , 27 , 45 , 135. Prime factors of 135 are 3 , 3 , 3 , 5. Therefore mean of prime factors of 135 is (3 + 3 + 3 + 5) / 4 = 3.50.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

#### Examples of Factors

How many total number of factors of 135 in pair are possible?

Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. Hence, the factors of 135 in pair are (1,135), (3,45), (5,27), (9,15). Therefore, in total 4 pairs of factors are possible.

Help Deep in writing the positive factors of 135 in pair and negative factor of 135 in pair.

Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. Positive factors of 135 in pair are (1,135), (3,45), (5,27), (9,15). Negative factors of 135 in pair are (-1,-135), (-3,-45), (-5,-27), (-9,-15).

Find the product of all factors of 135.

Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. So the product of all factors of 135 would be 1 x 3 x 5 x 9 x 15 x 27 x 45 x 135 = 332150625.

Find the product of all prime factors of 135.

Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. Prime factors are 3, 3, 3, 5. So, the product of all prime factors of 135 would be 3 x 3 x 3 x 5 = 135.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 135.
- Writing all prime factors of 135.
- Writing all the possible factors of 135 in pair.
Help him in writing all these.

Positive factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135.
Prime factors of 135 are 3, 3, 3, 5.
Factors of 135 in pair are (1,135), (3,45), (5,27), (9,15).

What are the pair factors of 135?

Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. Hence, the factors of 135 in pair are (1,135), (3,45), (5,27), (9,15).

Can you help Sammy list the factors of 135 and also find the factor pairs?

Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135.
Factors of 135 in pair are (1,135), (3,45), (5,27), (9,15).

Sammy has 135 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 135 blocks in all possible ways to form a rectangle, we need to calculate factors of 135 in pair. Therefore, factors of 135 in pair are (1,135), (3,45), (5,27), (9,15)