Q: What are the prime factors of the number 29,851,860?

 A: 2, 3, 5, 389, 1279

Why are those the prime factors of the number 29,851,860?

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 29,851,860

29,851,860
Factor Arrows
214,925,930
Factor Arrows
27,462,965
Factor Arrows
32,487,655
Factor Arrows
5497,531
Factor Arrows
3891,279

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, 389, 1279

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 389 x 1,279 = 29,851,860

This can also be written as 22 x 31 x 51 x 3891 x 1,2791 = 29,851,860

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 29,851,860:


Ask a Question