【 】Factors of 36 ||What are the Factors of 36? ||Factor Pairs of 36

Factors of 36 ||What are the Factors of 36?

Today we are going to find out the factors of 36 in just few steps.






              Step-1:


◆The numbers that can divide 36 without remainder are called 36'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 36 are 1, ............36.


●A simple way is to find what pairs of numbers multiply to get 36.



●36=1×36



36 is divisible by 1 and 36 without any remainder.So,1 and 36 are the two factors of 36.


Proofs:


●36/1=36

●36/36=1




           Step-3:


Already we have gotten two factors of 36 which are 1 and 36.In this step we will find out other factors of 36 by applying the following rule.



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


So,the numbers that can divide 36 without remainder are called 36's factors.


●A simple way is to find what pairs of numbers multiply to get 36.



36=2 ×18


36=3×12


36=4×9

36=6×6


Proofs:


●36/2=18

●36/18=2

●36/3=12

●36/12=3

●36/4=9

●36/9=4

●36/6=6



36 is divisible by 2,18,3,12 ,4,9,6 without any remainder.


So,the total number of positive factors of 36 (including 1 and itself) are 1,2,3,4,6,9,12 , 18 and 36.

          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  36  include negative numbers or integers. Hence, all the positive factors of 36 can be easily converted to negative numbers .The negative factors of 36 are given below:-1,-2,-3,-4,-6,-9,-12 , -18 and -36.

Look carefully:

(◆Negative times  Negative=Positive) 


◆36= -1 × -36

◆36= -2 × -18

◆36 = -3 × -12


◆36=-4× -9
◆36= -6 × -6


So,the total number of  negative factors of 36  are -1,-2,-3,-4,-6,-9,-12 , -18 and -36.

●How many factors does the number 36 have?


Ans:36 has 18 factors totally.The number 36 has 9 positive factors and 9 negative factors.







◆Factor Pairs of 36


Here are the factor pairs of 36.


●A simple way is to find what pairs of numbers multiply to get 36.



◆36=1×36


◆36=2 ×18


◆36=3×12


◆36=4×9


◆36=6×6
Look carefully:

(◆Negative times  Negative=Positive) 

◆36=-1× -36


◆36=-2 × -18


◆36= -3× -12


◆36= -4× -9


◆36=-6× -6

The integer 36 has 10 factor pairs.These are given below:

1×36,2 ×18,3×12,4×9,6×6,

-1×-36,-2×-18,-3×-12,-4×-9,
-6×-6.


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Course:How to Find Factors of Numbers