Q: What are the prime factors of the number 16,025,088?

 A: 2, 3, 10433

Why are those the prime factors of the number 16,025,088?

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 16,025,088

16,025,088
Factor Arrows
28,012,544
Factor Arrows
24,006,272
Factor Arrows
22,003,136
Factor Arrows
21,001,568
Factor Arrows
2500,784
Factor Arrows
2250,392
Factor Arrows
2125,196
Factor Arrows
262,598
Factor Arrows
231,299
Factor Arrows
310,433

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, 10433

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 2 x 2 x 3 x 10,433 = 16,025,088

This can also be written as 29 x 31 x 10,4331 = 16,025,088

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


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