Question

The sum of all the prime factors of the number $1890$ is _____

Answer 1

Sum of the prime factors of the given number.

The prime factorization of $1890$ is written as,

$$\begin{gathered} 1890=2\times 3\times 3\times 3\times 5\times 7 \\ \Rightarrow =2\times 3^3\times 5\times 7 \end{gathered}$$

The prime factors are $2,3,5,\mathrm{and}7$.

The sum of the prime factors$=2+3+5+7=17$

Hence, the sum of all the prime factors is $17$.