The number 6. Its prime factors are 1,2 & 3
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Most mathematicians would argue that the correct answer is 2*3*5 = 30 on the grounds that 1 is NOT a prime.
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The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210
1155
How about: 105
30,030 Factorization: 2x3x5x7x11x13
The smallest number with three different prime factors is 30.