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Question
n is a number such that 2n has 28 factors and 3n has 30 factors,then 6n has how many factors
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Answer
Hi Neha,
here,
for 2n, 28 = 7*4
for 3n,30= 6*5
Hence, one factor of n should be 2 raised to the power of 5.
the other factor is 3 raised to the power of 3.
When n is multiplied by 6
Number of factors of 6n = 7*5 = 35
Thanks,
Varun.
