Q: What are the prime factors of the number 41,221,103?

 A: 7, 11, 31, 2467

Why are those the prime factors of the number 41,221,103?

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 41,221,103

41,221,103
Factor Arrows
75,888,729
Factor Arrows
7841,247
Factor Arrows
1176,477
Factor Arrows
312,467

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:

7, 11, 31, 2467

We can check our work by multiplying all of the prime factors together: 7 x 7 x 11 x 31 x 2,467 = 41,221,103

This can also be written as 72 x 111 x 311 x 2,4671 = 41,221,103

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 41,221,103:


Ask a Question