Question

I am sum of all the comman factors of $36$ and $48$.
I am an even number.
What number am I ?

• A. Prime number
• B. Composite number
• C. $28$
• D. $10$

Answer 1

Answer: (B), (C)

$28$

First, we need to find factors of both the numbers we get,

Factors of $36$ are $1,2,3,4,6,9,12,18,36$

Factors of $48$ are $1,2,3,4,6,8,12,16,24,48$

Common factors of $36$ and $48$ are $1,2,3,4,6,12$.

Sum of all the common factors of $36$ and $48$ $=1+2+3+4+6+12=28$

28 is a composite number because it has factors other than 1 and itself.