Prime Factorization of 36,864

Prime Factorization by the Ladder Method:
36,864 is divisible by 2, 36,864/2 = 18,432
18,432 is divisible by 2, 18,432/2 = 9,216
9,216 is divisible by 2, 9,216/2 = 4,608
4,608 is divisible by 2, 4,608/2 = 2,304
2,304 is divisible by 2, 2,304/2 = 1,152
1,152 is divisible by 2, 1,152/2 = 576
576 is divisible by 2, 576/2 = 288
288 is divisible by 2, 288/2 = 144
144 is divisible by 2, 144/2 = 72
72 is divisible by 2, 72/2 = 36
36 is divisible by 2, 36/2 = 18
18 is divisible by 2, 18/2 = 9
9 is divisible by 3, 9/3 = 3
3 is a prime number
Prime Factorization of 36,864: 36,864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 36,864 in Exponential Form: 36,864 = 2¹² x 3²