Prime Factorization of 31

What is the Prime Factorization of 31?

Answer: Prime Factors of 31: 31

Explanation of number 31 Prime Factorization

Prime Factorization of 31 it is expressing 31 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 31.

Since number 31 is Prime number there is no way to factorize it. 31 is the only Prime factor of itself.

The smallest Prime Number which can divide 31 without a remainder is 31. So the first calculation step would look like:

31 ÷ 31 = 1

Now we have all the Prime Factors for number 31. It is: 31

See Also

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 31? (The answer is: 31). Pick the number for factorization (e.g. '31'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
24
17
2 × 32
19
22 × 5
3, 7
2, 11
23
23 × 3
52
2, 13
33
22 × 7
29
2, 3, 5
31
25
3, 11
2, 17
5, 7
22 × 32
37
2, 19
3, 13
23 × 5
41
2, 3, 7
43
22 × 11
32 × 5

FAQ

What is the Prime Factorization of 31?

Prime Factors of 31: 31

How many prime factors does 31 have?

Number 31 has 1 Prime Factors