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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:
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:
| 31 | |||||||||||
| 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.
