Question

Prime factors of the denominator of a rational number with the decimal expansion

44.123 are

(a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5​

Answer 1

Let us break this number 44.123 in standard form:

$44.123$

$\frac{44123}{1000}$

So in the question, we have to find the Prime factor of the denominator of $\frac{441}{100}$.

Denominator = 1000

So, Prime factorisation of 100:

$1000 = 2 \times 3 \times 5$

2,3,5 is prime factors.