Question

The number 5880 can be factored into prime divisors as 2 x 2 x 2 x 3 x 5 x 7 x 7.?
a) Determine the total number of divisors of 5880. (Answer is 48)
b) How many of the divisors are even? Answer is 36
c) How many of the divisors are odd? Answer is12

Answer 1

I guess it would be easier to do question number (c) at first and then do question number (b) at second and then do question number (a) at last

Answer 2

For the divisor to be odd there must be no 2.
i.e we need to find the number of divisors of number 3 x 5 x 7 x 7

Answer 3

Now, number of divisors of number 3 x 5 x 7 x 7 is (3+4+4+1)
which is 12

Answer 4

are you following???