1024 has exactly eleven. 60 has twelve, so it has eleven as well.
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It is 11 which is a prime number whose factors are itself and one
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Well, honey, the smallest number with prime factors 3, 5, 7, and 11 is simply the product of these primes: 3 * 5 * 7 * 11 = 1155. So, there you have it, darling, 1155 is the smallest number you're looking for.
Prime numbers, raised to a power, have one more factor than their exponents. The smallest prime number is 2. 210 has eleven factors. 210 = 1024
The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210