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The PCTM Puzzle of the Week - Solutions

Because of conditions 3 and 4, the number must be 
between 50, 64
The possibilities are then:
51 52 53 54 55 56 57 58 59 60 61 62 63
^^   **       ^^        ** ^^  **       ^^        ** ^^

The ^^'s mean that the number is divisible by 3, and
the **'s are for even numbers that aren't multiples 
of 3.

That narrows the numbers down to:

53 55 59 61.

53, 59, and 61 are primes, so they can not be 
multiples of two
primes.

Thus, the answer must be 55.

:*}

11*5=55

the answer is 55=5*11

55

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