【 】Factors of 12 ||What are the Factors of 12? ||Factor Pairs of 12

Factors of 12 ||What are the Factors of 12?

Today we are going to find out the factors of 12 in just few steps.






              Step-1:


◆The numbers that can divide 12 without remainder are called 12'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 12 are 1, ............12.


●A simple way is to find what pairs of numbers multiply to get 12.



●12 = 1× 12



12 is divisible by 1 and 12 without any remainder.So,1 and 12 are the two factors of 12.


Proofs:


●12/1=12
●12/12=1




           Step-3:

Already we have gotten two factors of 12 which are 1 and 12.In this step we will find out other factors of 12 by applying the following rule.



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


So,the numbers that can divide 12 without remainder are called 12's factors.


●A simple way is to find what pairs of numbers multiply to get 12.



●12=2 ×6
●12=3×4
●12=6×2


Course:How to Find Factors of Numbers

Proofs:


●12/2=6

●12/6=2

●12/3=4
●12/4=3
●12/6=2
●12/2=6






12 is divisible by 2,3,4,6 without any remainder.


So,the total number of positive factors of 12 (including 1 and itself) are 1,2,3,4,6 and 12.

            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 12  include negative numbers or integers. Hence, all the positive factors of 12 can be easily converted to negative numbers .The negative factors of 12 are given below:-1,-2,-3,-4,-6 and -12.


Look carefully:

(◆Negative times  Negative=Positive) 


◆12= -1 × -12

◆12= -2 × -6

◆12=-3×-4
So,the total number of  negative factors of 12  are -1,-2,-3,-4,-6 and -12.

●How many factors does the number 12 have?

Ans: 12 has 12 factors totally.The number 12 has 6 positive factors and 6 negative factors.

◆Factor Pairs of 12

Here are the factor pairs of 12.

●A simple way is to find what pairs of numbers multiply to get 12.

●12=1 × 12
●12=2 × 6
●12=3 × 4
●12=6 × 2


Look carefully:



●12=-1 × -12
●12=-2 × -6
●12=-3 × -4
●12=-6 × -2

 The integer 12 has 8 factor pairs.These are given below:
1×12,2×6 ,3×4,6×2,

-1×-12,-2×-6 ,-3×-4,-6×-2,.




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