Q: What are the prime factors of the number 15,283,328?

 A: 2, 139, 859

Why are those the prime factors of the number 15,283,328?

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 15,283,328

15,283,328
Factor Arrows
27,641,664
Factor Arrows
23,820,832
Factor Arrows
21,910,416
Factor Arrows
2955,208
Factor Arrows
2477,604
Factor Arrows
2238,802
Factor Arrows
2119,401
Factor Arrows
139859

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, 139, 859

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 139 x 859 = 15,283,328

This can also be written as 27 x 1391 x 8591 = 15,283,328

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


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