# Factors of 1089 in pair

Factors of 1089 in pair are (1, 1089) , (3, 363) , (9, 121) , (11, 99) and (33, 33)

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

 1.   Steps to find factors of 1089 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 1089 in pair

Factor Pair Pair Factorization
1 and 1089 1 x 1089 = 1089
3 and 363 3 x 363 = 1089
9 and 121 9 x 121 = 1089
11 and 99 11 x 99 = 1089
33 and 33 33 x 33 = 1089

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 1089. They are called negative pair factors.

Hence, the negative pairs of 1089 would be ( -1 , -1089 ) .

#### 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 1089 are 1 , 3 , 9 , 11 , 33 , 99 , 121 , 363 , 1089. So, factors of 1089 in pair are (1,1089), (3,363), (9,121), (11,99), (33,33).

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 3, 9, 11, 33, 99, 121, 363, 1089 are exact divisors of 1089.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1089 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1089.

#### Steps to find Factors of 1089

• Step 1. Find all the numbers that would divide 1089 without leaving any remainder. Starting with the number 1 upto 544 (half of 1089). The number 1 and the number itself are always factors of the given number.
1089 ÷ 1 : Remainder = 0
1089 ÷ 3 : Remainder = 0
1089 ÷ 9 : Remainder = 0
1089 ÷ 11 : Remainder = 0
1089 ÷ 33 : Remainder = 0
1089 ÷ 99 : Remainder = 0
1089 ÷ 121 : Remainder = 0
1089 ÷ 363 : Remainder = 0
1089 ÷ 1089 : Remainder = 0

Hence, Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, and 1089

• Is 1089 a composite number?

Yes 1089 is a composite number.

• Is 1089 a perfect square?

Yes 1089 is a perfect square.

• Write all odd factors of 1089?

The factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089.
Odd factors of 1089 are 1 , 3 , 9 , 11 , 33 , 99 , 121 , 363 , 1089.

• What is the mean of all prime factors of 1089?

Factors of 1089 are 1 , 3 , 9 , 11 , 33 , 99 , 121 , 363 , 1089. Prime factors of 1089 are 3 , 3 , 11 , 11. Therefore mean of prime factors of 1089 is (3 + 3 + 11 + 11) / 4 = 7.00.

• 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 1089 blocks in order to form a rectangle in all possible ways? For arranging 1089 blocks in order to form a rectangle in all possible ways we need to find factors of 1089 in pair.

Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. So, factors of 1089 in pair are (1,1089), (3,363), (9,121), (11,99), (33,33).

How many total number of factors of 1089 in pair are possible?

Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. Hence, the factors of 1089 in pair are (1,1089), (3,363), (9,121), (11,99), (33,33). Therefore, in total 5 pairs of factors are possible.

Sammy wants to write all the negative factors of 1089 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1089 are -1, -3, -9, -11, -33, -99, -121, -363, -1089. Hence, factors of 1089 in pair are (-1,-1089), (-3,-363), (-9,-121), (-11,-99), (-33,-33).

Find the product of all prime factors of 1089.

Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. Prime factors are 3, 3, 11, 11. So, the product of all prime factors of 1089 would be 3 x 3 x 11 x 11 = 1089.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1089.
- Writing all prime factors of 1089.
- Writing all the possible factors of 1089 in pair.
Help him in writing all these.

Positive factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089.
Prime factors of 1089 are 3, 3, 11, 11.
Factors of 1089 in pair are (1,1089), (3,363), (9,121), (11,99), (33,33).

Can you help Sammy list the factors of 1089 and also find the factor pairs?

Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089.
Factors of 1089 in pair are (1,1089), (3,363), (9,121), (11,99), (33,33).

Help Diji in finding factors of 1089 by Prime Factorization method and then sorting factors of 1089 in pairs.

Prime factorization of 1089 is 3 x 3 x 11 x 11. Factors of 1089 in pair can be written as (1,1089), (3,363), (9,121), (11,99), (33,33).

Write the smallest prime factor of 1089.

Smallest prime factor of 1089 is 3.