# What is the prime factorization of 280?

## How to use the tool

To calculate the prime factors of 280 enter a number in the field below and press decompose:

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## Answer to the Factorization of 280

The factorization of 280 is equal to 2 × 2 × 2 × 5 × 7 . We find these factors by successively dividing 280 by the prime numbers until we obtain the prime factors.

## Factor Tree of 280

The prime factor tree of 280 is an illustration that shows how the number 280 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:

 280 2 140 2 70 5 14 2 7

## Steps to Factor the Number 280

### 1. Division by Smaller Prime Numbers:

Start by dividing the number 280 by the smallest prime numbers, starting with the smallest prime, which is 2.

280 ÷ 2 = 140

### 2. Continuação das Divisões:

Agora, continue dividindo o resultado da etapa anterior por números primos menores, até que não seja mais possível fazer divisões inteiras.

140 ÷ 2 = 70

70 ÷ 2 = 35

35 ÷ 5 = 7

### 3. Obtenção dos Fatores Primos:

Now, the numbers by which you divided 280 and got integer results are the prime factors of 280. In this case, we have 2, 2, 2, 5 and 7.

### 4. Expressão da Fatoração:

Write the factorization of the number 280 using its prime factors. The full factorization of 280 is:

280 = 2 × 2 × 2 × 5 × 7

These steps show how the number 280 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.