Q: What are the prime factors of the number 15,161,040?

 A: 2, 3, 5, 7019

Why are those the prime factors of the number 15,161,040?

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 15,161,040

15,161,040
Factor Arrows
27,580,520
Factor Arrows
23,790,260
Factor Arrows
21,895,130
Factor Arrows
2947,565
Factor Arrows
3315,855
Factor Arrows
3105,285
Factor Arrows
335,095
Factor Arrows
57,019

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, 5, 7019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7,019 = 15,161,040

This can also be written as 24 x 33 x 51 x 7,0191 = 15,161,040

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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