# What is the prime factorization of 98?

## How to use the tool

To calculate the prime factors of 98 enter a number in the field below and press decompose:

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## Answer to the Factorization of 98

The factorization of 98 is equal to 2 × 7 × 7. We find these factors by successively dividing 98 by the prime numbers until we obtain the prime factors.

## Factor Tree of 98

The prime factor tree of 98 is an illustration that shows how the number 98 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:

 98 2 49 7 7

## Steps to Factor the Number 98

### 1. Division by Smaller Prime Numbers:

Start by dividing the number 98 by the smallest prime numbers, starting with the smallest prime, which is 2.

98 ÷ 2 = 49

### 2. Obtaining Prime Factors:

As the number 49 é um quadrado perfeito, ele possui apenas um fator primo repetido duas vezes.

The prime factor of 49 is just 7.

### 3. Factorization Expression:

Write the factorization of the number 98 using its prime factors. The full factorization of 98 is:

98 = 2 × 7 × 7

These steps show how the number 98 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.