【 】Factors of 24 ||What are the Factors of 24? ||Factor Pairs of 24

Factors of 24 ||What are the Factors of 24?





Factors of 24 ||What are the Factors of 24?



Today we are going to find out the factors of 24 in just few steps.






              Step-1:


◆The numbers that can divide 24 without remainder are called 24'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 24 are 1, ............24.


●A simple way is to find what pairs of numbers multiply to get 24.



●24 = 1× 24



24 is divisible by 1 and 24 without any remainder.So,1 and 24 are the two factors of 24.


Proofs:


●24/1=24

●24/24=1



           Step-3:

Already we have gotten two factors of 24 which are 1 and 24.In this step we will find out other factors of 24 by applying the following rule.



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


So,the numbers that can divide 24 without remainder are called 24's factors.


●A simple way is to find what pairs of numbers multiply to get 24.



24=2 ×12


24=3×8


24=4×6




Proofs:


●24/2=12

●24/12=2

●24/3=8

●24/8=3

●24/4=6

●24/6=4





24 is divisible by 2,3,4,6 ,8,12 without any remainder.


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


            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 24  include negative numbers or integers. Hence, all the positive factors of 24 can be easily converted to negative numbers .The negative factors of 24 are given below:

-1, -2, -3, -4, -6, -8, -12, and -24.

Look carefully:

(◆Negative times  Negative=Positive)


◆24= -1 × -24

◆24= -2 × -12


◆24=-3× -8


◆24=-4× -6
So,the total number of  negative factors of 24  are -1, -2, -3, -4, -6, -8, -12, and -24.

 ●How many factors does the number 24 have?

 Ans:24 has 16 factors totally.The number 24 has 8 positive factors and 8 negative factors.



◆Factor Pairs of 24

 Here are the factor pairs of 24.

●A simple way is to find what pairs of numbers multiply to get 24.

◆24=1×24

◆24=2 ×12


◆24=3×8


◆24=4×6

 Course:How to Find Factors of Numbers Look carefully:

◆24= -1× -24

◆24= -2 × -12


◆24=-3× -8


◆24= -4× -6

 The integer 24 has 8 factor pairs.These are given below:
1×24,-1× -24,2 ×12,-2 × -12,3× 8,-3× -8, 4× 6, -4× -6

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