# 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:

## 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