What is the prime factorization of 31?

How to use the tool

To calculate the prime factors of 31 enter a number in the field below and press decompose:

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Answer to the Factorization of 31

The factorization of 31 is equal to 31, because this is a prime number.

Factor Tree of 31

The prime factor tree of 31 is an illustration that shows how the number 31 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:

1 31

Steps to Factor the Number 31

1. Division by Smaller Prime Numbers:

The number 31 is a prime number, which means it is only divisible by 1 and itself.

2. Obtaining Prime Factors:

As the number 31 is a prime number, its only factorization is itself:

31 = 31

This means that 31 cannot be factorized into smaller prime numbers as it itself is a prime number.

Links to other factorizations