Prime Factorization of 36,000

Prime Factorization by the Ladder Method:
36,000 is divisible by 2, 36,000/2 = 18,000
18,000 is divisible by 2, 18,000/2 = 9,000
9,000 is divisible by 2, 9,000/2 = 4,500
4,500 is divisible by 2, 4,500/2 = 2,250
2,250 is divisible by 2, 2,250/2 = 1,125
1,125 is divisible by 3, 1,125/3 = 375
375 is divisible by 3, 375/3 = 125
125 is divisible by 5, 125/5 = 25
25 is divisible by 5, 25/5 = 5
5 is a prime number
Prime Factorization of 36,000: 36,000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5
Prime Factorization of 36,000 in Exponential Form: 36,000 = 2⁵ x 3² x 5³