【 】Factors of 60 ||What are the Factors of 60? ||Factor Pairs of 60
Factors of 60||What are the Factors of 60?
Today we are going to find out the factors of 60 in just few steps.
Step-1:
◆The numbers that can divide 60 without remainder are called 60'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 60 are 1, ............60.
●A simple way is to find what pairs of numbers multiply to get 60.
●60 = 1× 60
60 is divisible by 1 and 60 without any remainder.So,1 and 60 are the two factors of 60.
Proofs:
●60/1=60
●60/60=1
Step-3:
Already we have gotten two factors of 60 which are 1 and 60.In this step we will find out other factors of 60 by applying the following rule.
◆N's factor is the number that can divide N without remainder.
So,the numbers that can divide 60 without remainder are called 60's factors.
●A simple way is to find what pairs of numbers multiply to get 60.
●60=2×30
●60=3× 20
●60=4× 15
●60=5 ×12
●60=6 × 10
Proofs:
◆60/2=30
●60/30=2
◆60/3=20
●60/20=3
◆60/4=15
●60/15 =4
◆60/12 =5
●60/5 =12
◆60/10 =6
●60/6=10
60 is divisible by 2,3,4,5,6,10,12,15,20 and30 without any remainder.
So,the total number of positive factors of 60 (including 1 and itself) are 1, 2,3,4,5,6,10,12,15,20 ,30 and 60.
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 60 include negative numbers or integers. Hence, all the positive factors of 60 can be easily converted to negative numbers .The negative factors of 60 are given below:
-1,-2,-3,-4,-5,-6,-10,-12,-15,-20 ,-30 and -60.
Look carefully:
(◆Negative times Negative=Positive)
●60=-1×-60
●60=-2×-30
●60=-3× -20
●60=-4× -15
●60=-5 ×-12
●60=-6 × -10
So,the total number of negative factors of 60 are --1,-2,-3,-4,-5,-6,-10,-12,-15,-20 ,-30 and -60.
●How many factors does the number 60 have?
Ans:The number 60 has 24 factors totally.The number 60 has 12 positive factors and 12 negative factors.
●1, 2,3,4,5,6,10,12,15,20 ,30 and 60.
●-1,-2,-3,-4,-5,-6,-10,-12,-15,-20 ,-30 and -60.
◆Factor Pairs of 60 ||Factors of 60 in Pairs
●A simple way is to find what pairs of numbers multiply to get 60.
●60=1×60
●60=2×30
●60=3× 20
●60=4× 15
●60=5 ×12
●60=6 × 10
Look carefully:
●60=-1×-60
●60=-2×-30
●60=-3× -20
●60=-4× -15
●60=-5 ×-12
●60=-6 × -10
The integer 60 has 12 factor pairs.These are given below:
●1×60
●2×30
●3× 20
●4× 15
●5 ×12
●6 × 10
and
●-1×-60
●-2×-30
●-3× -20
●-4× -15
●-5 ×-12
●-6 × -10
Continue
Course:How to Find Factors of Numbers
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