Question

N is a number such that 2n has 28 factors and 3n has 30 factors.then 6n has how many factors?

Answer 1

solution:

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 othedr foctor is 3 raised to the power of 3.

When n is multiplied by 6

Number of factors of 6n = 35