Q: What are the prime factors of the number 838,655,475?

 A: 3, 5, 7, 17, 93967

Why are those the prime factors of the number 838,655,475?

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 838,655,475

838,655,475
Factor Arrows
3279,551,825
Factor Arrows
555,910,365
Factor Arrows
511,182,073
Factor Arrows
71,597,439
Factor Arrows
1793,967

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:

3, 5, 7, 17, 93967

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 17 x 93,967 = 838,655,475

This can also be written as 31 x 52 x 71 x 171 x 93,9671 = 838,655,475

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 838,655,475:


Ask a Question