What is the prime factorization of 343?

How to use the tool

To calculate the prime factors of 343 enter a number in the field below and press decompose:

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Answer to the Factorization of 343

The factorization of 343 is equal to 7 × 7 × 7. We find these factors by successively dividing 343 by the prime numbers until we obtain the prime factors.

Factor Tree of 343

The prime factor tree of 343 is an illustration that shows how the number 343 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:

7 49
7 7

Steps to Factor the Number 343

1. Obtaining the Prime Factors:

As the number 343 é uma potência de um número primo, ele possui apenas um fator primo repetido várias vezes.

The prime factor of 343 is just 7.

2. Factorization Expression:

Write the factorization of the number 343 using its only prime factor. The complete factorization of 343 is:

343 = 7 × 7 × 7

These steps show how the number 343 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

Links to other factorizations