Answer-The total number of even factors of 25 × 33 × 52 is:

We know that, any factor of the 25 times 33 times 52 can be expressed as 2a times 3b times 5c, where a ranges from 0 to 5, b ranges from 0 to 3 and c ranges from 0 to 2. Here, we need to find even factors of 25 times 33 times 52, so there has to be at least one factor of 2 in the given number. So, a will range from 1 to 5. As a result, a can take 5 values, b can take 4 values and c can take 3 values. there4 Total number of even factors 5 times 4 times 3 60