Question

A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form p/q ? Give reasons.​

Answer 1

Solution:
327.7081 = 3277081/10000 = 3277081 / 2⁴ x 5⁴ = p/q
Here, q is of the form 2^m × 5ⁿ, where m and n are natural numbers.
The prime factors of p and q will be either 2 or 5 or both.