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1=1*1 (prime)
2=2*1 (prime)
3=3*1 (prime)
4=2*2
5=5*1 (prime)
6=3*2
7=7*1 (prime)
8=2*2*2
9=3*3
Start with primes:
1*2*3*5*7
Go through the rest:
4=2*2 (add *2 --> 1*2*2*3*5*7)
6=3*2 (already covered 1*2*2*3*5*7)
8=2*2*2 (add *2 --> 1*2*2*2*3*5*7)
9=3*3 (add *3 --> 1*2*2*2*3*3*5*7)
Calculate
1*2*2*2*3*3*5*7=
1*8*9*5*7=
72*35=2520
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There is no smallest number since if any number is divisible by 8, then 8 less than that number is also divisible by 8 - and that argument continues all the way to minus infinity!The smallest positive number divisible by 8 is 8, itself.
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12 is the smallest 2 digit number divisible evenly by 4
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