Prime Factorization of 318

What is the Prime Factorization of 318?

Answer: Prime Factors of 318: 2, 3, 53

Explanation of number 318 Prime Factorization

Prime Factorization of 318 it is expressing 318 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 318.

Since number 318 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 318, we have to iteratively divide 318 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 318:

The smallest Prime Number which can divide 318 without a remainder is 2. So the first calculation step would look like:

318 ÷ 2 = 159

Now we repeat this action until the result equals 1:

159 ÷ 3 = 53

53 ÷ 53 = 1

Now we have all the Prime Factors for number 318. It is: 2, 3, 53

Prime Factor Tree of 318

We may also express the prime factorization of 318 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 318? (The answer is: 2, 3, 53). Pick the number for factorization (e.g. '318'). 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
3, 101
24 × 19
5, 61
2 × 32 × 17
307
22 × 7 × 11
3, 103
2, 5, 31
311
23 × 3 × 13
313
2, 157
32 × 5 × 7
22 × 79
317
2, 3, 53
11, 29
26 × 5
3, 107
2, 7, 23
17, 19
22 × 34
52 × 13
2, 163
3, 109
23 × 41
7, 47
2, 3, 5, 11
331
22 × 83

FAQ

What is the Prime Factorization of 318?

Prime Factors of 318: 2, 3, 53

How many prime factors does 318 have?

Number 318 has 3 Prime Factors