Q: What are the prime factors of the number 16,115,104?

 A: 2, 139, 3623

Why are those the prime factors of the number 16,115,104?

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 16,115,104

16,115,104
Factor Arrows
28,057,552
Factor Arrows
24,028,776
Factor Arrows
22,014,388
Factor Arrows
21,007,194
Factor Arrows
2503,597
Factor Arrows
1393,623

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, 3623

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 139 x 3,623 = 16,115,104

This can also be written as 25 x 1391 x 3,6231 = 16,115,104

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


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