Question

Prime factors of the denominator of a rational number with the decimal expansion 12.123 are
(a) 2,3
(b) 2,3,5
(c) 2,5
d) 3,5​

Answer 1

Given: Prime factors of the denominator of a rational number with the decimal expansion 12.123

To find: what are the prime factors of the number

Solution:

To change the number 12.123 from its decimal form to the rational number form, we will simply remove the decimal from the numerator by adding zeros in the denominator.

12.123= 12123/1000

The denominator is 1000

The prime factors of 1000 are 2 and 5

Therefore, the Prime factors of the denominator of a rational number  is 2,5.