Question

a rational number in its decimal expansion is 623.6051 . what can you say about the prime factors of q , when this number is expressed in the from of p/q give reasons

Answer 1

the prime factors of q are 2 and 5 .

Answer 2

Heya

A rational number' decimal expansion is terminating, the denominator will have its prime factors as 2 or 5 or both 2 and 5.

That is the denominator will be of the form 2^n.5^m

Here the decimal expansion of the rational number is 623.6051. it is terminating.

So the prime factors of q will be only 2 and 5

Hope it helps