Prime Factorization of 938

What is the Prime Factorization of 938?

Answer: Prime Factors of 938: 2, 7, 67

Explanation of number 938 Prime Factorization

Prime Factorization of 938 it is expressing 938 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 938.

Since number 938 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 938, we have to iteratively divide 938 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 938:

The smallest Prime Number which can divide 938 without a remainder is 2. So the first calculation step would look like:

938 ÷ 2 = 469

Now we repeat this action until the result equals 1:

469 ÷ 7 = 67

67 ÷ 67 = 1

Now we have all the Prime Factors for number 938. It is: 2, 7, 67

Prime Factor Tree of 938

We may also express the prime factorization of 938 as a Factor Tree:

Prime factors of 938 factorization tree of 938

Related Calculations

See Also

Prime Factorization Table

NumberPrime Factors
13, 71
22 × 3 × 7 × 11
52 × 37
9262, 463
32 × 103
25 × 29
929
2, 3, 5, 31
72 × 19
22 × 233
3, 311
9342, 467
5, 11, 17
23 × 32 × 13
937
2, 7, 67
3, 313
22 × 5 × 47
941
9422, 3, 157
23, 41
24 × 59
33 × 5 × 7
2, 11, 43
947
22 × 3 × 79
13, 73
2 × 52 × 19
3, 317
23 × 7 × 17

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 938? (The answer is: 2, 7, 67). Pick the number for factorization (e.g. '938'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 938?

Prime Factors of 938: 2, 7, 67

How many prime factors does 938 have?

Number 938 has 3 Prime Factors