# What is the prime factorization of 729?

Prime factorization is a method of expressing a number as a product of its prime factors.

## Answer: The prime factorization of 729 is 3 × 3 × 3 × 3 × 3 × 3

The fundamental theorem of arithmetic says that any composite number can be expressed in a unique way as a product of its prime factors.

**Explanation:**

729 is a perfect square number. It is (27)^{2}

27 can also be written as 3 × 3 × 3

Therefore, 729 = (3 × 3 × 3)^{2} which is (3^{3})^{2 }= 3^{6} in the exponent form.