SOLUTION: I am thinking of a positive number, less than 500, that is divisible by every number from 1 to 10 (inclusive), with one exception. What number am I thinking of? Prove that the answ

Question 856528: I am thinking of a positive number, less than 500, that is divisible by every number from 1 to 10 (inclusive), with one exception. What number am I thinking of? Prove that the answer is unique.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I am thinking of a positive number, less than 500, that is divisible by every number from 1 to 10 (inclusive), with one exception.
What number am I thinking of? Prove that the answer is unique.
:
i think the exception is 7, the other prime numbers have multiples
:
Prime factor the last three numbers
10: 2 * 5
9: 3 * 3
8: 2*2*2
:
LCM: 2*2*2*3*3*5 = 360 is the number
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