Q: What are the prime factors of the number 16,415,088?

 A: 2, 3, 19, 41, 439

Why are those the prime factors of the number 16,415,088?

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 16,415,088

16,415,088
Factor Arrows
28,207,544
Factor Arrows
24,103,772
Factor Arrows
22,051,886
Factor Arrows
21,025,943
Factor Arrows
3341,981
Factor Arrows
1917,999
Factor Arrows
41439

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, 19, 41, 439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 41 x 439 = 16,415,088

This can also be written as 24 x 31 x 191 x 411 x 4391 = 16,415,088

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


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