Q: What are the prime factors of the number 8,363,840?

 A: 2, 5, 59, 443

Why are those the prime factors of the number 8,363,840?

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 8,363,840

8,363,840
Factor Arrows
24,181,920
Factor Arrows
22,090,960
Factor Arrows
21,045,480
Factor Arrows
2522,740
Factor Arrows
2261,370
Factor Arrows
2130,685
Factor Arrows
526,137
Factor Arrows
59443

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, 5, 59, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 59 x 443 = 8,363,840

This can also be written as 26 x 51 x 591 x 4431 = 8,363,840

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 8,363,840:


Ask a Question