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.
It is 11 which is a prime number whose factors are itself and one
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prime number
7x11x13=1001
The smallest positive integer is 3.
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It is 11 which is a prime number whose factors are itself and one
2 and 3 are the smallest prime numbers. So answer is 2^3 * 3^3 = 216
The smallest two-digit prime number whose digits themselves are prime is 23. Both 2 and 3 are prime numbers, and together they form the prime number 23.
The smallest prime number, of course, is 2. The smallest prime number whose digits add up to 2 is, of course, 2. The next-smallest is 11. It is left as an exercise for the reader to determine whether the other numbers whose digits add up to 2 (e.g. 101, 1001, 10001) are prime.
There are infinitely many prime numbers, and also infinitely many twin primes so there is no answer to the question.
That number is 724.
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121