What is the prime factorization of 98?

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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:

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.

Links to other factorizations