Q: What are the prime factors of the number 600,003,468?

 A: 2, 3, 89, 401, 467

Why are those the prime factors of the number 600,003,468?

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 600,003,468

600,003,468
Factor Arrows
2300,001,734
Factor Arrows
2150,000,867
Factor Arrows
350,000,289
Factor Arrows
316,666,763
Factor Arrows
89187,267
Factor Arrows
401467

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, 89, 401, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 89 x 401 x 467 = 600,003,468

This can also be written as 22 x 32 x 891 x 4011 x 4671 = 600,003,468

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 600,003,468:


Ask a Question