【 】Factors of 72||What are the Factors of 72? ||Factor Pairs of 72

Factors of 72||What are the Factors of 72?

Factors of 72

Today we are going to find out the factors of 72 in just few steps.

              Step-1:


◆The numbers that can divide 72 without remainder are called 72's factors.


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


◆Notice that the factors of a number always includes 1 and itself.




             Step-2:

Notice that the factors of a number always includes 1 and itself.

So,the factors of 72 are 1, ............72.


●A simple way is to find what pairs of numbers multiply to get 72.



●72 = 1× 72



72 is divisible by 1 and 72 without any remainder.So,1 and 72 are the two factors of 72.


Proofs:


●72/1=72

●72/72=1





           Step-3:

Already we have gotten two factors of 72 which are 1 and 72.In this step we will find out other factors of 72 by applying the following rule.



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


So,the numbers that can divide 72 without remainder are called 72's factors.


●A simple way is to find what pairs of numbers multiply to get 72.




●72=2×36
●72=3× 24
●72=4×18
●72=6 ×12
●72=8 × 9







Proofs:


◆72/2=36
●72/36=2

◆72/3=24
●72/24=3

◆72/4=18
●72/18 =4

◆72/12 =6
●72/6 =12


◆72/8 =9
●72/9=8





72 is divisible by 2,3,4,6,8,9,12,18,24 and36 without any remainder.


So,the total number of positive factors of 72 (including 1 and itself) are 1, 2,3,4,6,8,9,12,18,24 ,36 and 72.

            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 72  include negative numbers or integers. Hence, all the positive factors of 72 can be easily converted to negative numbers .The negative factors of 72 are given below:
-1,-2,-3,-4,-6,-8,-9,-12,-18,-24 ,-36 and -72.

Look carefully:


(◆Negative times  Negative=Positive) 


◆72= -1 × -72

◆72= -2 × -36

◆72=-3×-24

◆72=-4 × -18


◆72 = -6 × -12

◆72=-8×-9

So,the total number of  negative factors of 72  are --1,-2,-3,-4,-6,-8,-9,-12,-18,-24 ,-36 and -72.

●How many factors does the number 72 have?

Ans:The number 72 has 24 factors totally.The number 72 has 12 positive factors and 12 negative factors.

●1, 2,3,4,6,8,9,12,18,24 ,36 and 72.

●-1,-2,-3,-4,-6,-8,-9,-12,-18,-24 ,-36 and -72.

◆Factor Pairs of 72 ||Factors of 72 in Pairs

Here are the factor pairs of 72.

●A simple way is to find what pairs of numbers multiply to get 72.

●72=1×72
●72=2×36
●72=3× 24
●72=4×18
●72=6 ×12
●72=8 × 9


Look carefully:



◆72= -1 × -72

◆72= -2 × -36

◆72=-3×-24

◆72=-4 × -18


◆72 = -6 × -12

◆72=-8×-9

The integer 72 has 12 factor pairs.These are given below:

1×72,
2×36,
3× 24,
4×18,
6 ×12,
8 × 9

and

-1 × -72,
 -2 × -36,
-3×-24,
-4 × -18,

 -6 × -12,
-8×-9

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Course:How to Find Factors of Numbers