No, neither 10 nor 24 is prime.
2 x 2 x 2 x 2 x 3 x 5 = 240
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240 = 2 x 2 x 2 x 2 x 3 x 5
240 = 2 x 2 x 2 x 2 x 3 x 5 or 24 x 31 x 51
113 is already prime. No factorization.
What is the prime factorization of 256^180
3 is already prime. No factorization.