36
How about 6 whose factors are 1, 2, 3 and 6
2 and 3 are the smallest prime numbers. So answer is 2^3 * 3^3 = 216
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.
The smallest non-palindromic number whose square is palindromic is 77. When squared, (77^2 = 5929), which is indeed a palindromic number. The next smallest non-palindromic number, 88, also yields a palindromic square, (88^2 = 7744), but 77 is the smallest such number.
70
30
44
How about 6 whose factors are 1, 2, 3 and 6
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
44
2
If you mean 2, 3 and 7 as factors then the smallest number is 42
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.
The smallest non-palindromic number whose square is palindromic is 77. When squared, (77^2 = 5929), which is indeed a palindromic number. The next smallest non-palindromic number, 88, also yields a palindromic square, (88^2 = 7744), but 77 is the smallest such number.
114
36