what is the prime factorization of 2,456?

Answer 1

2456 / 2 = 1228
1228 / 2 = 614
614 / 2 = 307
307 is not divisible by 2 (it is odd)
307 is not divible by 3 (digits do not add up to a multiple of 3)
307 is not divisible by 5 (does not end in 5)
(we only need to check up to the last prime below the square root of 307, which is 17)
307 is not divible by 7, nor 11, nor 17.
Therefore 307 is prime.

Answer 2

2456 is just 2 * 1228

Since 2 is already a prime number, you need to reduce 1228 into its prime factors.

1228 = 4 * 307
4 = 2 * 2
307 is a prime number.

So the prime factorization of 2456 is 2 * 2 * 2 * 307