Factors of 729 are integers that can be divided evenly into 729. There are overall 7 factors of 729 among which 729 is the biggest factor and its positive factors are 1, 3, 9, 27, 81, 243, 729. The Prime Factors of 729 are 3 and its Factors in Pairs are (1, 729), (3, 243), (9, 81), (27, 27).

• All Factors of 729: 1, 3, 9, 27, 81, 243 and 729
• Negative Factors of 729: -1, -3, -9, -27, -81, -243 and -729
• Prime Factors of 729: 3
• Prime Factorization of 729: 3⁶
• Sum of Factors of 729: 1093

1.	What Are the Factors of 729?
2.	Factors of 729 by Prime Factorization
3.	Factors of 729 in Pairs
4.	FAQs on Factors of 729

Factors of 729 are pairs of those numbers whose products result in 729. These factors are either prime numbers or composite numbers.

How to Find the Factors of 729?

To find the factors of 729, we will have to find the list of numbers that would divide 729 without leaving any remainder.

• 729/243 = 3; therefore, 243 is a factor of 729 and 3 is also a factor of 729.
• 729/27 = 27; therefore, 27 is a factor of 729.

Similarly we can find other factors. Hence, the factors of 729 are 1, 3, 9, 27, 81, 243, 729.

☛ Also Check:

• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 49 - The factors of 49 are 1, 7, 49

The number 729 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 729. The first step is to divide the number 729 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 729 ÷ 3 = 243
• 243 ÷ 3 = 81
• 81 ÷ 3 = 27
• 27 ÷ 3 = 9
• 9 ÷ 3 = 3
• 3 ÷ 3 = 1

Further dividing 1 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 1 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 729 is 3⁶.

Pair factors of 729 are the pairs of numbers that when multiplied give the product 729. The factors of 729 in pairs are:

• 1 × 729 = (1, 729)
• 3 × 243 = (3, 243)
• 9 × 81 = (9, 81)
• 27 × 27 = (27, 27)

Negative pair factors of 729 are:

• -1 × -729 = (-1, -729)
• -3 × -243 = (-3, -243)
• -9 × -81 = (-9, -81)
• -27 × -27 = (-27, -27)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.