Q: What are the prime factors of the number 866,848?

 A: 2, 103, 263

Why are those the prime factors of the number 866,848?

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 866,848

866,848
Factor Arrows
2433,424
Factor Arrows
2216,712
Factor Arrows
2108,356
Factor Arrows
254,178
Factor Arrows
227,089
Factor Arrows
103263

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, 103, 263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 103 x 263 = 866,848

This can also be written as 25 x 1031 x 2631 = 866,848

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 866,848:


Ask a Question