Question
Question: The sum of the factors of 8! which are odd and are of the form (3m + 2) where m Î N is –...
The sum of the factors of 8! which are odd and are of the form (3m + 2) where m Î N is –
A
40
B
8
C
45
D
35
Answer
40
Explanation
Solution
8! = 27 . 32 . 5 . 7 for odd factors of the form 3m + 2 we are take combination of 5 & 7.
The required factors are 5 & 35, sum = 40