Question

What are the sum of all the factors of 50 which are between 1 and 50. A. 42B. 2550C. 92D. 15

Answer 1

Factors of 50 are the numbers which on dividing 50 leave no remainder. 50 is a composite number, therefore, it has more than 2 factors.

We can get the factors of 50 by Prime Factorization. We can draw a factor tree to get the prime factors of 50 as shown below:

Therefore, the prime factors are:

`2,5,5`

Hence, the other factors are:

`\begin{gathered} 2*5=10 \\ 5*5=25 \end{gathered}`

Therefore, the factors of 50, including 1 and 50, are:

`1,2,5,10,25,50`

The question asks to sum all the factors between 1 and 50. This means that 1 and 50 are not included in the sum.

Therefore, the sum will be:

`\Rightarrow2+5+10+25=42`

The correct option is OPTION A.