1215 is divisible by 3 because its digits add up to a multiple of 3. That leaves 405.
405 is divisible by 3, leaving 135.
135 is divisible by 3, leaving 45.
45 is divisible by 3, leaving 15.
15 is divisible by 3, leaving 5.
5 is divisible by 5 because it ends in 5.
3 x 3 x 3 x 3 x 3 x 5 = 1215
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You can always check on the divisibility of a number by dividing it into another number. But if you know the divisibility rules, you can get that information easier and faster.
No prime power exists since there are no duplicate prime numbers in the prime factorization.
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That is not what prime factorization is for.
The prime factorization of 50 using exponents is 21 x 52