Prime Factorization of 93

What is the Prime Factorization of 93?

Answer: Prime Factors of 93: 3, 31

Explanation of number 93 Prime Factorization

Prime Factorization of 93 it is expressing 93 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 93.

Since number 93 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 93, we have to iteratively divide 93 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 93:

The smallest Prime Number which can divide 93 without a remainder is 3. So the first calculation step would look like:

93 ÷ 3 = 31

Now we repeat this action until the result equals 1:

31 ÷ 31 = 1

Now we have all the Prime Factors for number 93. It is: 3, 31

Prime Factor Tree of 93

We may also express the prime factorization of 93 as a Factor Tree:

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 93? (The answer is: 3, 31). Pick the number for factorization (e.g. '93'). 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
2, 3, 13
79
24 × 5
34
2, 41
83
22 × 3 × 7
5, 17
2, 43
3, 29
23 × 11
89
2 × 32 × 5
7, 13
22 × 23
3, 31
2, 47
5, 19
25 × 3
97
2 × 72
32 × 11
22 × 52
101
2, 3, 17
103
23 × 13
3, 5, 7
2, 53
107

FAQ

What is the Prime Factorization of 93?

Prime Factors of 93: 3, 31

How many prime factors does 93 have?

Number 93 has 2 Prime Factors