【 】Factors of 30||What are the Factors of 30? ||Factor Pairs of 30

Factors of 30||What are the Factors of 30?

Today we are going to find out the factors of 30 in just few steps.


              Step-1:


◆The numbers that can divide 30 without remainder are called 30'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 30 are 1, ............30.


●A simple way is to find what pairs of numbers multiply to get 30.



●30 = 1× 30



30 is divisible by 1 and 30 without any remainder.So,1 and 30 are the two factors of 30.


Proofs:


●30/1=30
●30/30=1




           Step-3:

Already we have gotten two factors of 30 which are 1 and 30.In this step we will find out other factors of 30 by applying the following rule.



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


So,the numbers that can divide 30 without remainder are called 30's factors.


●A simple way is to find what pairs of numbers multiply to get 30.



●30=2 ×15
●30=3×10
●30=5×6




Proofs:


●30/2=15

●30/15=2

●30/3=10
●30/10=3
●30/5=6
●30/6=5






30 is divisible by 2,3,5,6 ,10 and 15 without any remainder.


So,the total number of positive factors of 30 (including 1 and itself) are 1,2,3,5,6,10,15 and 30.

            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 30  include negative numbers or integers. Hence, all the positive factors of 30 can be easily converted to negative numbers .The negative factors of 30 are given below:
-1,-2,-3,-5,-6,-10,-15 and -30.

Look carefully:


(◆Negative times  Negative=Positive) 


◆30= -1 × -30

◆30= -2 × -15

◆30=-3×-10

◆30=-5 × -6


So,the total number of  negative factors of 30  are -1,-2,-3,-5,-6 , -10,-15 and -30.

●How many factors does the number 30 have?

Ans: 30 has 16 factors totally.The number 30 has 8 positive factors and 8 negative factors.

Course:How to Find Factors of Numbers


◆Factor Pairs of 30

Here are the factor pairs of 30.

●A simple way is to find what pairs of numbers multiply to get 30.

●30=1 × 30
●30=2 ×15
●30=3×10
●30=5×6


Look carefully:



●30=-1 × -30
●30=-2 × -15
●30=-3× -10
●30= -5× -6

 The integer 30 has 8 factor pairs.These are given below:
1×30,2×15 ,3×10,5×6,

-1×-30,-2×-15 ,-3×-10,-5×-6.




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Course:How to Find Factors of Numbers