Q: What are the prime factors of the number 11,015,648?

 A: 2, 7, 49177

Why are those the prime factors of the number 11,015,648?

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 11,015,648

11,015,648
Factor Arrows
25,507,824
Factor Arrows
22,753,912
Factor Arrows
21,376,956
Factor Arrows
2688,478
Factor Arrows
2344,239
Factor Arrows
749,177

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, 7, 49177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 49,177 = 11,015,648

This can also be written as 25 x 71 x 49,1771 = 11,015,648

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 11,015,648:


Ask a Question