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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 28
Factors 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.

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