Q: What are the prime factors of the number 26,063,208?

 A: 2, 3, 41, 109

Why are those the prime factors of the number 26,063,208?

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 26,063,208

26,063,208
Factor Arrows
213,031,604
Factor Arrows
26,515,802
Factor Arrows
23,257,901
Factor Arrows
31,085,967
Factor Arrows
3361,989
Factor Arrows
3120,663
Factor Arrows
340,221
Factor Arrows
313,407
Factor Arrows
34,469
Factor Arrows
41109

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, 41, 109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 41 x 109 = 26,063,208

This can also be written as 23 x 36 x 411 x 1091 = 26,063,208

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 26,063,208:


Ask a Question