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What is the prime factorization of 729?
How to use the tool
To calculate the prime factors of 729 enter a number in the field below and press decompose:
Answer to the Factorization of 729
The factorization of 729 is equal to 3 × 3 × 3 × 3 × 3 × 3. We find these factors by successively dividing 729 by the prime numbers until we obtain the prime factors.
Factor Tree of 729
The prime factor tree of 729 is an illustration that shows how the number 729 is decomposed into its fundamental prime factors, as 2, 3 and 5. This visual representation helps you understand the underlying structure of the number and how it is formed from smaller prime numbers.
Look at the following tree:
| 729 | ||||||||||
| 3 | 243 | |||||||||
| 3 | 81 | |||||||||
| 3 | 27 | |||||||||
| 3 | 9 | |||||||||
| 3 | 3 | |||||||||
Steps to Factor the Number 729
1. Division by Smaller Prime Numbers:
As the number 729 é um cubo perfeito, ele possui apenas um fator primo repetido três vezes.
The prime factor of 729 is just 3.
2. Factorization Expression:
Write the factorization of the number 729 using its only prime factor. The complete factorization of 729 is:
729 = 3 × 3 × 3 × 3 × 3 × 3
These steps show how the number 729 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.
