number of factors of 2160 which are multiples of 6 is
Answers
means there are 24 factors of 2160 which are multiples of 6.
The number of factors of 2160 which are multiples of 6 is 24
Solution:
Given that,
We have to find the number of factors of 2160 which are multiples of 6
Step 1:
Find the factors of 2160
The factors of 2,160 are:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160
Step 2:
Find the number of factors of 2160 which are multiples of 6
Multiples of 6 = 6 , 12 , 18 , 24 , 30 , 36 , 48 , 54 , 60 , 72 , 90 , 108 , 120 , 135 , 144 , 180 , 216 , 240 , 360 , 432 , 540 , 720 , 1080 , 2160
Number = 24
Thus number of factors of 2160 which are multiples of 6 is 24
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