Q: What are the prime factors of the number 404,213,245?

 A: 5, 53, 1525333

Why are those the prime factors of the number 404,213,245?

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 404,213,245

404,213,245
Factor Arrows
580,842,649
Factor Arrows
531,525,333

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:

5, 53, 1525333

We can check our work by multiplying all of the prime factors together: 5 x 53 x 1,525,333 = 404,213,245

This can also be written as 51 x 531 x 1,525,3331 = 404,213,245

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 404,213,245:


Ask a Question