# Factors of 9 in pair

Factors of 9 in pair are (1, 9) , (3, 3)

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

 1.   Steps to find factors of 9 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 9 in pair

Factor Pair Pair Factorization
1 and 9 1 x 9 = 9
3 and 3 3 x 3 = 9

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 9. They are called negative pair factors.

Hence, the negative pairs of 9 would be ( -1 , -9 ) .

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

#### 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 are exact divisors of 9.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 9 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 9.

#### Steps to find Factors of 9

• Step 1. Find all the numbers that would divide 9 without leaving any remainder. Starting with the number 1 upto 4 (half of 9). The number 1 and the number itself are always factors of the given number.
9 ÷ 1 : Remainder = 0
9 ÷ 3 : Remainder = 0
9 ÷ 9 : Remainder = 0

Hence, Factors of 9 are 1, 3, and 9

• Is 9 a composite number?

Yes 9 is a composite number.

• Is 9 a perfect square?

Yes 9 is a perfect square.

• Write all odd factors of 9?

The factors of 9 are 1, 3, 9.
Odd factors of 9 are 1 , 3 , 9.

• What is the mean of all prime factors of 9?

Factors of 9 are 1 , 3 , 9. Prime factors of 9 are 3 , 3. Therefore mean of prime factors of 9 is (3 + 3) / 2 = 3.00.

• 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 9 blocks in order to form a rectangle in all possible ways? For arranging 9 blocks in order to form a rectangle in all possible ways we need to find factors of 9 in pair.

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

How many total number of factors of 9 in pair are possible?

Factors of 9 are 1, 3, 9. Hence, the factors of 9 in pair are (1,9), (3,3). Therefore, in total 2 pairs of factors are possible.

Sammy wants to write all the negative factors of 9 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 9 are -1, -3, -9. Hence, factors of 9 in pair are (-1,-9), (-3,-3).

Find the product of all prime factors of 9.

Factors of 9 are 1, 3, 9. Prime factors are 3, 3. So, the product of all prime factors of 9 would be 3 x 3 = 9.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 9.
- Writing all prime factors of 9.
- Writing all the possible factors of 9 in pair.
Help him in writing all these.

Positive factors of 9 are 1, 3, 9.
Prime factors of 9 are 3, 3.
Factors of 9 in pair are (1,9), (3,3).

Can you help Sammy list the factors of 9 and also find the factor pairs?

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

Help Diji in finding factors of 9 by Prime Factorization method and then sorting factors of 9 in pairs.

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

Write the smallest prime factor of 9.

Smallest prime factor of 9 is 3.