SOLUTION: Please help me solve this problem: Can you find a number less than 200 that is divisible by four different prime numbers? Why or Why not?

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Question 11823: Please help me solve this problem: Can you find a number less than 200 that is divisible by four different prime numbers? Why or Why not?
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
well, assuming 1 is not a prime number, then the primes are 2,3,5,7,11,13, etc

4 smallest are 2,3,5,7.
Multiply these together, you get 210.
So it is impossible to have a number less than 210 that has 4 prime factors. And this also means that no number less than 210 can be divided by 4 primes.

jon.