Q: What are the prime factors of the number 11,803,888?

 A: 2, 37, 127, 157

Why are those the prime factors of the number 11,803,888?

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 11,803,888

11,803,888
Factor Arrows
25,901,944
Factor Arrows
22,950,972
Factor Arrows
21,475,486
Factor Arrows
2737,743
Factor Arrows
3719,939
Factor Arrows
127157

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, 37, 127, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 37 x 127 x 157 = 11,803,888

This can also be written as 24 x 371 x 1271 x 1571 = 11,803,888

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 11,803,888:


Ask a Question