    Question

# The sum of all the prime factors of m is 9. Find the number m.

A
15
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B
18
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C
28
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D
12
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Solution

## The correct option is C 28Factors of 15 are 1, 3, 5 and 15. Among these the prime factors are 3 and 5. ∴ Sum of prime factors = 3+5 = 8 Similarly, Factors of 18 = 1, 2, 3, 6, 9 and 18. Among these the prime factors are 2 and 3. ∴ Sum of prime factors = 2+3 = 5. Factors of 28 = 1, 2, 4, 7, 14 and 28. Among these the prime factors are 2 and 7. ∴ Sum of prime factors = 2+7= 9. Factors of 12 = 1, 2, 3, 4, 6 and 12 Among these the prime factors are 2 and 3. ∴ Sum of prime factors = 2+3 = 5. We can see that the prime factors of 28 sums up to 9. ∴ The value of m is 28.  Suggest Corrections  14      Similar questions  Related Videos   The Prime Factree
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