# Factors of 45 in pair

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

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

 1.   Steps to find factors of 45 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 45 in pair

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

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 45. They are called negative pair factors.

Hence, the negative pairs of 45 would be ( -1 , -45 ) .

#### 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 45 are 1 , 3 , 5 , 9 , 15 , 45. So, factors of 45 in pair are (1,45), (3,15), (5,9).

#### 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 factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 15, 45 are exact divisors of 45.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 45 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 45.

#### Steps to find Factors of 45

• Step 1. Find all the numbers that would divide 45 without leaving any remainder. Starting with the number 1 upto 22 (half of 45). The number 1 and the number itself are always factors of the given number.
45 ÷ 1 : Remainder = 0
45 ÷ 3 : Remainder = 0
45 ÷ 5 : Remainder = 0
45 ÷ 9 : Remainder = 0
45 ÷ 15 : Remainder = 0
45 ÷ 45 : Remainder = 0

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

• Is 45 a composite number?

Yes 45 is a composite number.

• Is 45 a perfect square?

No 45 is not a perfect square.

• Write all odd factors of 45?

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

• What is the mean of all prime factors of 45?

Factors of 45 are 1 , 3 , 5 , 9 , 15 , 45. Prime factors of 45 are 3 , 3 , 5. Therefore mean of prime factors of 45 is (3 + 3 + 5) / 3 = 3.67.

• 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

Can you help Rubel in arranging 45 blocks in order to form a rectangle in all possible ways? For arranging 45 blocks in order to form a rectangle in all possible ways we need to find factors of 45 in pair.

Factors of 45 are 1, 3, 5, 9, 15, 45. So, factors of 45 in pair are (1,45), (3,15), (5,9).

Ariel has been asked to write all factor pairs of 45 but she is finding it difficult. Can you help her find out?

Factors of 45 are 1, 3, 5, 9, 15, 45. So, factors of 45 in pair are (1,45), (3,15), (5,9).

What are the pair factors of 45?

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

Can you help Sammy list the factors of 45 and also find the factor pairs?

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

Help Diji in finding factors of 45 by Prime Factorization method and then sorting factors of 45 in pairs.

Prime factorization of 45 is 3 x 3 x 5. Factors of 45 in pair can be written as (1,45), (3,15), (5,9).

Write the smallest prime factor of 45.

Smallest prime factor of 45 is 3.

Write the largest prime factor of 45.

Largest prime factor of 45 is 5.

Diji wants to write all the negative factors of 45. Can you help Diji in doing the same?

Negative factors of 45 are -1, -3, -5, -9, -15, -45.