Q: What are the prime factors of the number 15,234,040?

 A: 2, 5, 17, 43, 521

Why are those the prime factors of the number 15,234,040?

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 15,234,040

15,234,040
Factor Arrows
27,617,020
Factor Arrows
23,808,510
Factor Arrows
21,904,255
Factor Arrows
5380,851
Factor Arrows
1722,403
Factor Arrows
43521

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, 17, 43, 521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 17 x 43 x 521 = 15,234,040

This can also be written as 23 x 51 x 171 x 431 x 5211 = 15,234,040

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


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