Question

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

Answer 1

3277081/10000

=3277081/(10)^4

=3277081/(5×2)^4

=3277081/ 5^4×2^4

q = 5^4×2^4

it is in the form 5^n ×2^n

Answer 2

Answer:

the prime factor of q is 2 and 5

Step-by-step explanation:

327.7081 =  $\frac{3277081}{10000}$ = $\frac{p}{q}$

= $\frac{3277081}{(10)^{4} }$

=$\frac{3277081}{(5*2)^{4} }$

=$\frac{3277081}{5^{4} * 2^{4} }$

The denominator is in the form of $2^{m}* 5^{n}$

∴The prime factor of q is 2 and 5