Q: What are the prime factors of the number 300,111,200?

 A: 2, 5, 17, 22067

Why are those the prime factors of the number 300,111,200?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 300,111,200

300,111,200
Factor Arrows
2150,055,600
Factor Arrows
275,027,800
Factor Arrows
237,513,900
Factor Arrows
218,756,950
Factor Arrows
29,378,475
Factor Arrows
51,875,695
Factor Arrows
5375,139
Factor Arrows
1722,067

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 17, 22067

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 x 22,067 = 300,111,200

This can also be written as 25 x 52 x 171 x 22,0671 = 300,111,200

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 300,111,200:


Ask a Question