Q: What are the prime factors of the number 410,004,144?

 A: 2, 3, 11, 23531

Why are those the prime factors of the number 410,004,144?

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 410,004,144

410,004,144
Factor Arrows
2205,002,072
Factor Arrows
2102,501,036
Factor Arrows
251,250,518
Factor Arrows
225,625,259
Factor Arrows
38,541,753
Factor Arrows
32,847,251
Factor Arrows
11258,841
Factor Arrows
1123,531

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, 11, 23531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 x 23,531 = 410,004,144

This can also be written as 24 x 32 x 112 x 23,5311 = 410,004,144

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 410,004,144:


Ask a Question