Factors of 729 are:

• 1
• 3
• 9
• 27
• 81
• 243
• 729

To find the factors of 729, we can start by breaking it down into its prime factors. The number 729 can be expressed as:

Prime Factorization

729 is equal to \(3^6\), which means it is made up of the prime number 3 multiplied by itself six times.

List of Factors

The factors of 729 are all the numbers that can divide it without leaving a remainder. Here’s the complete list:

• 1
• 3
• 9
• 27
• 81
• 243
• 729

Understanding Factors

Factors are important in mathematics because they help us understand the properties of numbers and how they relate to each other. In this case, all the factors of 729 are derived from its prime factorization.

In summary, the factors of 729 are 1, 3, 9, 27, 81, 243, and 729 itself.