Explanation

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60, out of which 8 factors are even.

Alternative approach:

60 = 12*5 = 4*3*5, i.e. 60 = 22*31*51

For the factor to be even, it should be a multiple of 2. Rewriting 60 as a multiple of 2 => 60 = 2(21*31*51)

Now the numbers in the bracket can be permuted in 8 ways since we have (20, 21), (30, 31), (50, 51) and each of them can be chosen in 2 ways. So total ways = 2*2*2 = 8.

Hence, the answer is 8.

**The correct answer choice is D.**

Alternative approach:

60 = 12*5 = 4*3*5, i.e. 60 = 22*31*51

For the factor to be even, it should be a multiple of 2. Rewriting 60 as a multiple of 2 => 60 = 2(21*31*51)

Now the numbers in the bracket can be permuted in 8 ways since we have (20, 21), (30, 31), (50, 51) and each of them can be chosen in 2 ways. So total ways = 2*2*2 = 8.

Hence, the answer is 8.