The Sum Of The Factors Of 9! Which Are Odd And Are Of The Form 3m + 2, Where m is A Natural Number Is 

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Question

The sum of the factors of 9! Which are odd and are of the form 3m + 2, where m is a natural number is 

Solution

Correct option is

40

   

Odd factors of the form 3m + 2 are neither multiple of 2 nor multiples of 3. So the factors may be 1, 5, 7, 35 of which just 5 and 35 are of the form 3m + 2. Their sum is 40.

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