Q: What are the prime factors of the number 16,751,038?

 A: 2, 23, 29, 433

Why are those the prime factors of the number 16,751,038?

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 16,751,038

16,751,038
Factor Arrows
28,375,519
Factor Arrows
23364,153
Factor Arrows
2912,557
Factor Arrows
29433

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, 23, 29, 433

We can check our work by multiplying all of the prime factors together: 2 x 23 x 29 x 29 x 433 = 16,751,038

This can also be written as 21 x 231 x 292 x 4331 = 16,751,038

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


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