What is the prime factorization of 841?

How to use the tool

To calculate the prime factors of 841 enter a number in the field below and press decompose:

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Answer to the Factorization of 841

The factorization of 841 is equal to 29 × 29. We find these factors by successively dividing 841 by the prime numbers until we obtain the prime factors.

Factor Tree of 841

The prime factor tree of 841 is an illustration that shows how the number 841 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:

841
29 29

Steps to Factor the Number 841

1. Obtaining the Prime Factors:

The number 841 é um quadrado perfeito, sendo igual a 292.

Portanto, The factorization of 841 is:

841 = 29 × 29

These steps show how the number 841 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.


Links to other factorizations