The prime factorisation of 729 is 36.
To find the prime factorisation, we can start by dividing 729 by the smallest prime number, which is 3:
- 729 ÷ 3 = 243
- 243 ÷ 3 = 81
- 81 ÷ 3 = 27
- 27 ÷ 3 = 9
- 9 ÷ 3 = 3
- 3 ÷ 3 = 1
As we see, we can continue dividing by 3 until we reach 1. Since we divided by 3 a total of 6 times, we can express 729 as 3 multiplied by itself six times, or 36.