# Factors of 324 in pair

Factors of 324 in pair are (1, 324) , (2, 162) , (3, 108) , (4, 81) , (6, 54) , (9, 36) , (12, 27) and (18, 18)

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

 1.   Steps to find factors of 324 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 324 in pair

Factor Pair Pair Factorization
1 and 324 1 x 324 = 324
2 and 162 2 x 162 = 324
3 and 108 3 x 108 = 324
4 and 81 4 x 81 = 324
6 and 54 6 x 54 = 324
9 and 36 9 x 36 = 324
12 and 27 12 x 27 = 324
18 and 18 18 x 18 = 324

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 324. They are called negative pair factors.

Hence, the negative pairs of 324 would be ( -1 , -324 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 324 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 27 , 36 , 54 , 81 , 108 , 162 , 324. So, factors of 324 in pair are (1,324), (2,162), (3,108), (4,81), (6,54), (9,36), (12,27), (18,18).

#### How can we define factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 324 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 324.
• Every number is a factor of zero (0), since 324 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, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324 are exact divisors of 324.
• Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. Each factor divides 324 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324 are all less than or equal to 324.

#### Steps to find Factors of 324

• Step 1. Find all the numbers that would divide 324 without leaving any remainder. Starting with the number 1 upto 162 (half of 324). The number 1 and the number itself are always factors of the given number.
324 ÷ 1 : Remainder = 0
324 ÷ 2 : Remainder = 0
324 ÷ 3 : Remainder = 0
324 ÷ 4 : Remainder = 0
324 ÷ 6 : Remainder = 0
324 ÷ 9 : Remainder = 0
324 ÷ 12 : Remainder = 0
324 ÷ 18 : Remainder = 0
324 ÷ 27 : Remainder = 0
324 ÷ 36 : Remainder = 0
324 ÷ 54 : Remainder = 0
324 ÷ 81 : Remainder = 0
324 ÷ 108 : Remainder = 0
324 ÷ 162 : Remainder = 0
324 ÷ 324 : Remainder = 0

Hence, Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, and 324

• Is 324 a composite number?

Yes 324 is a composite number.

• Is 324 a prime number?

No 324 is not a prime number.

• What is the mean of factors of 324?

Factors of 324 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 27 , 36 , 54 , 81 , 108 , 162 , 324. therefore mean of factors of 324 is (1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 54 + 81 + 108 + 162 + 324) / 15 = 56.47.

• 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.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 324.
- Writing all prime factors of 324.
- Writing all the possible factors of 324 in pair.
Help him in writing all these.

Positive factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324.
Prime factors of 324 are 2, 2, 3, 3, 3, 3.
Factors of 324 in pair are (1,324), (2,162), (3,108), (4,81), (6,54), (9,36), (12,27), (18,18).

What are the pair factors of 324?

Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. Hence, the factors of 324 in pair are (1,324), (2,162), (3,108), (4,81), (6,54), (9,36), (12,27), (18,18).

Can you help Sammy list the factors of 324 and also find the factor pairs?

Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324.
Factors of 324 in pair are (1,324), (2,162), (3,108), (4,81), (6,54), (9,36), (12,27), (18,18).

The area of a rectangle is 324 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 324 in pair. So, the possible combinations (1,324), (2,162), (3,108), (4,81), (6,54), (9,36), (12,27), (18,18).

Help Diji in finding factors of 324 by Prime Factorization method and then sorting factors of 324 in pairs.

Prime factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3. Factors of 324 in pair can be written as (1,324), (2,162), (3,108), (4,81), (6,54), (9,36), (12,27), (18,18).

Write the smallest prime factor of 324.

Smallest prime factor of 324 is 2.

Write the largest prime factor of 324.

Largest prime factor of 324 is 3.

Diji wants to write all the negative factors of 324. Can you help Diji in doing the same?

Negative factors of 324 are -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, -324.