【 】Factors of 42||What are the Factors of 42? ||Factor Pairs of 42

Factors of 42||What are the Factors of 42?

Today we are going to find out the factors of 42 in just few steps.

              Step-1:


◆The numbers that can divide 42 without remainder are called 42'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 42 are 1, ............42.


●A simple way is to find what pairs of numbers multiply to get 42.



●42 = 1× 42



42 is divisible by 1 and 42 without any remainder.So,1 and 42 are the two factors of 42.


Proofs:


●42/1=42

●42/42=1





           Step-3:

Already we have gotten two factors of 42 which are 1 and 42.In this step we will find out other factors of 42 by applying the following rule.



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


So,the numbers that can divide 42 without remainder are called 42's factors.


●A simple way is to find what pairs of numbers multiply to get 42.



●42=2×21
●42=3× 14
● 42 = 6× 7


Proofs:


◆42/2=21
●42/21=2

◆42/3=14
●42/14=3

◆42/6=7
●42/7=6






42 is divisible by 2,3,6,7,14, and 21 without any remainder.

So,the total number of positive factors of 42 (including 1 and itself) are 1, 2,3,6,7,14,  21 and 42.

            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 42  include negative numbers or integers. Hence, all the positive factors of 42 can be easily converted to negative numbers .The negative factors of 42 are given below:

-1, -2,-3,-6,-7,-14,  -21 and -42.

Look carefully:


(◆Negative times  Negative=Positive) 


●42=-1×-42
●42=-2×-21
●42=-3× -14
● 42 = -6× -7


So,the total number of  negative factors of 42  are 

 -1, -2,-3,-6,-7,-14,  -21 and -42.

●How many factors does the number 42 have?

Ans:The number 42 has 16 factors totally.The number 42 has 8 positive factors and 8 negative factors.

●1, 2,3,6,7,14,  21 and 42.

● -1, -2,-3,-6,-7,-14,  -21 and -42.

◆Factor Pairs of 42 ||Factors of 42 in Pairs

• Here are the factor pairs of 42.

●A simple way is to find what pairs of numbers multiply to get 42.

●42=1×42
●42=2×21
●42=3× 14
● 42 = 6× 7


Look carefully:



●42=-1×-42
●42=-2×-21
●42=-3× -14
● 42 = -6× -7

The integer 42 has 8 factor pairs.These are given below:

●1×42
●2×21
●3× 14
●  6× 7

and

●-1×-42
●-2×-21
●-3× -14
● -6× -7

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Course:How to Find Factors of Numbers