Q: What are the prime factors of the number 522,400,200?

 A: 2, 3, 5, 7, 29, 4289

Why are those the prime factors of the number 522,400,200?

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 522,400,200

522,400,200
Factor Arrows
2261,200,100
Factor Arrows
2130,600,050
Factor Arrows
265,300,025
Factor Arrows
321,766,675
Factor Arrows
54,353,335
Factor Arrows
5870,667
Factor Arrows
7124,381
Factor Arrows
294,289

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, 3, 5, 7, 29, 4289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 7 x 29 x 4,289 = 522,400,200

This can also be written as 23 x 31 x 52 x 71 x 291 x 4,2891 = 522,400,200

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 522,400,200:


Ask a Question