What are the Factors of 729?

What are the Factors of 729?

The following are the different types of factors of 729:

• Factors of 729: 1, 3, 9, 27, 81, 243, 729

• Negative Factors of 729: -1, -3, -9, -27, -81, -243, -729

• Prime Factors of 729: 3

• Prime Factorization of 729: $3^6$

Factors by Division Method

To calculate the factors of 729, start by dividing the numbers by the smallest prime number, which is 2. If the number is not divisible by 2, proceed to the next prime number, such as 3, 5, 7, 11, 13, and continue this process until you reach 1.

Step 1: 729 ÷ 3 = 243
Step 2: 243 ÷ 3 = 81
Step 3: 81 ÷ 3 = 27
Step 4: 27 ÷ 3 = 9
Step 5: 9 ÷ 3 = 3
Step 6: 3 ÷ 3 = 1

In step 6, we have reached to 1, and so, the process is stopped.

• Prime Factors of 729: $3\times3\times3\times3\times3\times3$

• Prime Factorization of 729: $3^6$

The factors will be all the multiples of 1, 3, 3, 3, 3, 3, 3, 9, 27, 81, 243, 729

Calculating all the factors:
3 = 1 x 3
9 = 1 x 9
27 = 1 x 27
81 = 1 x 81
243 = 1 x 243
729 = 1 x 729

Finally Factors of 729 = 1, 3, 9, 27, 81, 243, 729