The only number that fits those conditions is... 55
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The only 2-didgit palindromic prime is 11.
-3
A number is a multiple of 4 if the last 2 digits are a multiple of 4 The 10s digit is even and the last digit is 0, 4 or 8 The 10s digit is odd and the last digit is 2 or 6 A number is a multiple of 8 if the last 3 digits are a multiple of 8 The 100s digit is even and the last 2 digits are a multiple of 8 The 100s digit is odd and the last 2 digits are 4 times an odd number
14 is one of them
Divide the 2-digit number by the 1-digit number. If the quotient comes out a whole number, then the big one is a multiple of the small one.