[ ] Factors of 9 || What are the Factors of 9? ||Factor Pairs of 9

Factors of 9||What are the Factors of 9?

Today we are going to find out the factors of 9 in just few steps.


              Step-1:


◆The numbers that can divide 9 without remainder are called 9's factors.


◆Rule-1: N's factor is the number that can divide N without remainder.


◆Notice that the factors always includes 1 and itself.




             Step-2:

Notice that the factors always includes 1 and itself.

So,the factors of 9 are 1, ............9.


●A simple way is to find what pairs of numbers multiply to get 9.



●9 = 1× 9



9 is divisible by 1 and 9 without any remainder.So,1 and 9 are the two factors of 9.


Proofs:


●9/1=9
●9/9=1




           Step-3:

Already we have gotten two factors of 9 which are 1 and 9.In this step we will find out other factors of 9 by applying the following rule.



◆N's factor is the number that can divide N without remainder.


So,the numbers that can divide 9 without remainder are called 9's factors.


●A simple way is to find what pairs of numbers multiply to get 9.



●9=3 ×3




Proofs:


●9/3=3

●9/3=3







9 is divisible by 3 without any remainder.


So,the total number of positive factors of 9 (including 1 and itself) are 1,3 and 9.

            Step-4

●We have to keep in mind that the factors of an integer include both the positive and negative integers.


So, the factors of 9  include negative numbers or integers. Hence, all the positive factors of 9 can be easily converted to negative numbers .The negative factors of 9 are given below:
-1,-3, and -9.

Look carefully:



(◆Negative times  Negative=Positive) 


◆9= -1 × -9

◆30= -3 × -3


So,the total number of  negative factors of 9  are -1,-3 and -9.

●How many factors does the number 9 have?

Ans: 9 has 6 factors totally.The number 9 has 3 positive factors and 3 negative factors.

◆Factor Pairs of 9

Here are the factor pairs of 9.

●A simple way is to find what pairs of numbers multiply to get 9.

●9=1 × 9
●9=3 × 3


Look carefully:



●9=-1 × -9
●9=-3 × -3

 The integer 9 has 4 factor pairs.These are given below:

1 × 9,3 × 3

-1 × -9,-3×-3.




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Course:How to Find Factors of Numbers