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Question 22

Ramanujan's number is $$1729$$. The number of composite divisors of $$1729$$ less than $$1729$$ is


Correct Answer: 3

Solution

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Factor $$1729$$ as $$7\times13\times19$$. It has $$8$$ divisors in total, namely $$1$$, the three primes, the three products of two primes, and $$1729$$ itself. The three composite divisors less than $$1729$$ are $$91,133,247$$, so the answer is $$3$$.

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