Q: What are the prime factors of the number 15,134,784?

 A: 2, 3, 7, 11261

Why are those the prime factors of the number 15,134,784?

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 15,134,784

15,134,784
Factor Arrows
27,567,392
Factor Arrows
23,783,696
Factor Arrows
21,891,848
Factor Arrows
2945,924
Factor Arrows
2472,962
Factor Arrows
2236,481
Factor Arrows
378,827
Factor Arrows
711,261

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, 7, 11261

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 3 x 7 x 11,261 = 15,134,784

This can also be written as 26 x 31 x 71 x 11,2611 = 15,134,784

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 15,134,784:


Ask a Question