Q: What are the prime factors of the number 10,111,040?

 A: 2, 5, 19, 1663

Why are those the prime factors of the number 10,111,040?

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 10,111,040

10,111,040
Factor Arrows
25,055,520
Factor Arrows
22,527,760
Factor Arrows
21,263,880
Factor Arrows
2631,940
Factor Arrows
2315,970
Factor Arrows
2157,985
Factor Arrows
531,597
Factor Arrows
191,663

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, 19, 1663

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 19 x 1,663 = 10,111,040

This can also be written as 26 x 51 x 191 x 1,6631 = 10,111,040

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 10,111,040:


Ask a Question