Prime Factorization of 620

What is the Prime Factorization of 620?

Answer: Prime Factors of 620: 2, 2, 5, 31

or

22 × 5 × 31

Explanation of number 620 Prime Factorization

Prime Factorization of 620 it is expressing 620 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 620.

Since number 620 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 620, we have to iteratively divide 620 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 620:

The smallest Prime Number which can divide 620 without a remainder is 2. So the first calculation step would look like:

620 ÷ 2 = 310

Now we repeat this action until the result equals 1:

310 ÷ 2 = 155

155 ÷ 5 = 31

31 ÷ 31 = 1

Now we have all the Prime Factors for number 620. It is: 2, 2, 5, 31

Or you may also write it in exponential form: 22 × 5 × 31

Prime Factor Tree of 620

We may also express the prime factorization of 620 as a Factor Tree:

Related Calculations

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 620? (The answer is: 2, 2, 5, 31). Pick the number for factorization (e.g. '620'). 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
5 × 112
6062, 3, 101
607
60825 × 19
3, 7, 29
2, 5, 61
13, 47
22 × 32 × 17
613
6142, 307
3, 5, 41
23 × 7 × 11
617
6182, 3, 103
619619
22 × 5 × 31
62133 × 23
6222, 311
6237, 89
24 × 3 × 13
54
2, 313
3, 11, 19
62822 × 157
17, 37
2 × 32 × 5 × 7
631
23 × 79
6333, 211
6342, 317

FAQ

What is the Prime Factorization of 620?

Prime Factors of 620: 2, 2, 5, 31

How many prime factors does 620 have?

Number 620 has 4 Prime Factors

What is the Prime Factorization of 620 in exponential form?

The Prime Factorization of the number 620 in the exponential form is: 22 × 5 × 31