1.

The total number of even factors of 25 × 33 × 52 is:1). 302). 53). 104). 60

Answer»

We know that, any FACTOR of the (25 × 33 × 52) can be expressed as 2a × 3b × 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 × 33 × 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.

∴ Total number of even factors = 5 × 4 × 3 = 60


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