Prime Factorization of 940

What is the Prime Factorization of 940?

Answer: Prime Factors of 940: 2, 2, 5, 47

or

22 × 5 × 47

Explanation of number 940 Prime Factorization

Prime Factorization of 940 it is expressing 940 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 940.

Since number 940 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 940, we have to iteratively divide 940 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 940:

The smallest Prime Number which can divide 940 without a remainder is 2. So the first calculation step would look like:

940 ÷ 2 = 470

Now we repeat this action until the result equals 1:

470 ÷ 2 = 235

235 ÷ 5 = 47

47 ÷ 47 = 1

Now we have all the Prime Factors for number 940. It is: 2, 2, 5, 47

Or you may also write it in exponential form: 22 × 5 × 47

Prime Factor Tree of 940

We may also express the prime factorization of 940 as a Factor Tree:

Prime factors of 940 factorization tree of 940

See Also

Prime Factorization Table

NumberPrime Factors
52 × 37
9262, 463
92732 × 103
25 × 29
929929
2, 3, 5, 31
93172 × 19
93222 × 233
9333, 311
9342, 467
5, 11, 17
23 × 32 × 13
937
9382, 7, 67
3, 313
22 × 5 × 47
941
9422, 3, 157
23, 41
24 × 59
33 × 5 × 7
2, 11, 43
947
94822 × 3 × 79
13, 73
2 × 52 × 19
9513, 317
95223 × 7 × 17
953953
2 × 32 × 53

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 940? (The answer is: 2, 2, 5, 47). Pick the number for factorization (e.g. '940'). 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 940?

Prime Factors of 940: 2, 2, 5, 47

How many prime factors does 940 have?

Number 940 has 4 Prime Factors

What is the Prime Factorization of 940 in exponential form?

The Prime Factorization of the number 940 in the exponential form is: 22 × 5 × 47