Q: What are the prime factors of the number 8,054,016?

 A: 2, 3, 10487

Why are those the prime factors of the number 8,054,016?

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 8,054,016

8,054,016
Factor Arrows
24,027,008
Factor Arrows
22,013,504
Factor Arrows
21,006,752
Factor Arrows
2503,376
Factor Arrows
2251,688
Factor Arrows
2125,844
Factor Arrows
262,922
Factor Arrows
231,461
Factor Arrows
310,487

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, 10487

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 2 x 2 x 3 x 10,487 = 8,054,016

This can also be written as 28 x 31 x 10,4871 = 8,054,016

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 8,054,016:


Ask a Question