What is the prime factorization of 361?

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To calculate the prime factors of 361 enter a number in the field below and press decompose:

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Answer to the Factorization of 361

The factorization of 361 is equal to 19 × 19. We find these factors by successively dividing 361 by the prime numbers until we obtain the prime factors.

Factor Tree of 361

The prime factor tree of 361 is an illustration that shows how the number 361 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:

19 19

Steps to Factor the Number 361

1. Obtaining the Prime Factors:

The number 361 é um quadrado perfeito, sendo igual a 19^2.

Portanto, The factorization of 361 is:

361 = 19 × 19

These steps show how the number 361 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

Links to other factorizations