Prime Factorization of 13,824

Prime Factorization by the Ladder Method:
13,824 is divisible by 2, 13,824/2 = 6,912
6,912 is divisible by 2, 6,912/2 = 3,456
3,456 is divisible by 2, 3,456/2 = 1,728
1,728 is divisible by 2, 1,728/2 = 864
864 is divisible by 2, 864/2 = 432
432 is divisible by 2, 432/2 = 216
216 is divisible by 2, 216/2 = 108
108 is divisible by 2, 108/2 = 54
54 is divisible by 2, 54/2 = 27
27 is divisible by 3, 27/3 = 9
9 is divisible by 3, 9/3 = 3
3 is a prime number
Prime Factorization of 13,824: 13,824 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 13,824 in Exponential Form: 13,824 = 2⁹ x 3³