【 】Factors of 48 ||What are the Factors of 48? ||Factor Pairs of 48

Factors of 48||What are the Factors of 48?










Today we are going to find out the factors of 48 in just few steps.


              Step-1:


◆The numbers that can divide 48 without remainder are called 48'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 48 are 1, ............48.


●A simple way is to find what pairs of numbers multiply to get 48.



●48 = 1× 48



48 is divisible by 1 and 48 without any remainder.So,1 and 48 are the two factors of 48.


Proofs:


●48/1=48
●48/48=1





           Step-3:

Already we have gotten two factors of 48 which are 1 and 48.In this step we will find out other factors of 18 by applying the following rule.



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


So,the numbers that can divide 48 without remainder are called 48's factors.


●A simple way is to find what pairs of numbers multiply to get 48.




●48=2×24
●48=3×16
●48=4×12
●48=6×8






Proofs:


●48/2=24

●48/3=16

●48/16=3
●48/4=12
●48/12=4
●48/6 =8
●48/8 =6


Course:How to Find Factors of Numbers


48 is divisible by 2,3,4,6 and 8,12,16,24 without any remainder.


So,the total number of positive factors of 18 (including 1 and itself) are 1,2,3,4,6,8,12,16,24  and 48.


            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 48  include negative numbers or integers. Hence, all the positive factors of 48 can be easily converted to negative numbers .The negative factors of 48 are given below:
-1,-2,-3,-4,-6,-8,-12,-16,-24  and -48.

Look carefully:


(◆Negative times  Negative=Positive) 


◆48= -1 × -48

◆48= -2 × -24

◆48=-3×-16

 ◆48=-4 × -12


 ◆48 =-6 × -8

So,the total number of  negative factors of 48  are --1,-2,-3,-4,-6,-8,-12,-16,-24  and -48.

●How many factors does the number 48 have?

Ans:The number 48 has 20 factors totally.The number 48 has 10 positive factors and 10 negative factors.


●1,2,3,4,6,8,12,16,24  and 48.

●-1,-2,-3,-4,-6,-8,-12,-16,-24  and -48.

◆Factor Pairs of 48

Here are the factor pairs of 48.

●A simple way is to find what pairs of numbers multiply to get 48.

 ●48=1×48
●48=2×24
●48=3×16
●48=4×12

●48=6×8


Look carefully:



◆48= -1 × -48

◆48= -2 × -24

◆48=-3×-16

◆48=-4 × -12


◆48 =-6 × -8

 The integer 48 has 10 factor pairs.These are given below:

1×48,2×24,3×16,4×12,6×8

and

 -1×-48,-2×-24,-3×-16,-4×-12,-6×-8




Continue








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