Question 995937
<pre>
She beat me to it, but she didn't bother to explain how to 
get the answer.
</pre>
What is a number that is a multiple of 2 and 7, is less than 
100 but greater than 50 and the product of three different 
prime numbers? 
<pre>
2 and 7 are primes, so those have to be two of the primes
of which the required number is the product of, so we need 
another prime p so that our number is 2*7*p

  50 < 2*7*p < 100

   50 < 14p < 100

Divide through by 14

3.57... < p < 7.14...

The only prime different from 2 and 7
between those two values is 5.

So p = 5

The number is therefore 2*7*p = 2*7*5 = 70.

Edwin</pre>