Q: What are the prime factors of the number 846,104?

 A: 2, 7, 29, 521

Why are those the prime factors of the number 846,104?

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 846,104

846,104
Factor Arrows
2423,052
Factor Arrows
2211,526
Factor Arrows
2105,763
Factor Arrows
715,109
Factor Arrows
29521

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, 7, 29, 521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 29 x 521 = 846,104

This can also be written as 23 x 71 x 291 x 5211 = 846,104

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 846,104:


Ask a Question