Bunuel wrote:

Tough and Tricky questions: Number Properties.

The smallest prime factor of 899 is \(x\). Which of the following is true of \(x\)?

A. \(1 \lt x \le 7\)

B. \(7 \lt x \le 14\)

C. \(14 \lt x \le 21\)

D. \(21 \lt x \le 28\)

E. \(28 \lt x \le 35\)

Kudos for a correct solution.Note that 899 <900 and \(\sqrt{900}\)=30...so prime factor is below 30...

Note that it is always better to start with C option as we can easily rule 2,3,5 and 7...

In Option D between 21 and 28 there is only 1 prime and we can find whether 23 is that factor or not quickly...It is not because \(899/23\neq {Integer}\)

In option E we have 29,31, as prime but 31 is ruled out...and 899/29=Integer so ans is E..

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