# Factors of 405 in pair

Factors of 405 in pair are (1, 405) , (3, 135) , (5, 81) , (9, 45) and (15, 27)

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

 1.   Steps to find factors of 405 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 405 in pair

Factor Pair Pair Factorization
1 and 405 1 x 405 = 405
3 and 135 3 x 135 = 405
5 and 81 5 x 81 = 405
9 and 45 9 x 45 = 405
15 and 27 15 x 27 = 405

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 405. They are called negative pair factors.

Hence, the negative pairs of 405 would be ( -1 , -405 ) .

#### 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 405 are 1 , 3 , 5 , 9 , 15 , 27 , 45 , 81 , 135 , 405. So, factors of 405 in pair are (1,405), (3,135), (5,81), (9,45), (15,27).

#### 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, 27, 45, 81, 135, 405 are exact divisors of 405.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 405 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 405.

#### Steps to find Factors of 405

• Step 1. Find all the numbers that would divide 405 without leaving any remainder. Starting with the number 1 upto 202 (half of 405). The number 1 and the number itself are always factors of the given number.
405 ÷ 1 : Remainder = 0
405 ÷ 3 : Remainder = 0
405 ÷ 5 : Remainder = 0
405 ÷ 9 : Remainder = 0
405 ÷ 15 : Remainder = 0
405 ÷ 27 : Remainder = 0
405 ÷ 45 : Remainder = 0
405 ÷ 81 : Remainder = 0
405 ÷ 135 : Remainder = 0
405 ÷ 405 : Remainder = 0

Hence, Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, and 405

• Is 405 a composite number?

Yes 405 is a composite number.

• Is 405 a perfect square?

No 405 is not a perfect square.

• Write all odd factors of 405?

The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405.
Odd factors of 405 are 1 , 3 , 5 , 9 , 15 , 27 , 45 , 81 , 135 , 405.

• What is the mean of all prime factors of 405?

Factors of 405 are 1 , 3 , 5 , 9 , 15 , 27 , 45 , 81 , 135 , 405. Prime factors of 405 are 3 , 3 , 3 , 3 , 5. Therefore mean of prime factors of 405 is (3 + 3 + 3 + 3 + 5) / 5 = 3.40.

• 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 405 blocks in order to form a rectangle in all possible ways? For arranging 405 blocks in order to form a rectangle in all possible ways we need to find factors of 405 in pair.

Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405. So, factors of 405 in pair are (1,405), (3,135), (5,81), (9,45), (15,27).

Ariel has been asked to write all factor pairs of 405 but she is finding it difficult. Can you help her find out?

Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405. So, factors of 405 in pair are (1,405), (3,135), (5,81), (9,45), (15,27).

What are the pair factors of 405?

Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405. Hence, the factors of 405 in pair are (1,405), (3,135), (5,81), (9,45), (15,27).

Can you help Sammy list the factors of 405 and also find the factor pairs?

Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405.
Factors of 405 in pair are (1,405), (3,135), (5,81), (9,45), (15,27).

Help Diji in finding factors of 405 by Prime Factorization method and then sorting factors of 405 in pairs.

Prime factorization of 405 is 3 x 3 x 3 x 3 x 5. Factors of 405 in pair can be written as (1,405), (3,135), (5,81), (9,45), (15,27).

Write the smallest prime factor of 405.

Smallest prime factor of 405 is 3.

Write the largest prime factor of 405.

Largest prime factor of 405 is 5.

Diji wants to write all the negative factors of 405. Can you help Diji in doing the same?

Negative factors of 405 are -1, -3, -5, -9, -15, -27, -45, -81, -135, -405.