What is the prime factors form for 729?

Answer 1

To find the prime factor form of a number, you need to divide it by prime numbers until no more divisions are possible. In this case, the digit sum of 729 is 9, so we know we can divide it by 9 (3x3). If we do this, we get 81. This is known from times tables to be 9x9. Thus the prime factorization of 729 is 3x3x3x3x3x3. This can also be written in prime power form as 36