How many factors of 1040 are perfect squares?

How many factors of 1040 are perfect squares?

(a)          3

(b)          4

(c)           6

(d)          5

Sol:

Factors of 1040

2⁴×13×5

If A no. is perfect square power of no. is always even. or zero power of no. –

0, 2, 4, 6

1040→ 2⁴×13×5

1, 4, 16, are factors of no. 1040 also perfect square.