Q: What are the prime factors of the number 18,950,944?

 A: 2, 592217

Why are those the prime factors of the number 18,950,944?

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 18,950,944

18,950,944
Factor Arrows
29,475,472
Factor Arrows
24,737,736
Factor Arrows
22,368,868
Factor Arrows
21,184,434
Factor Arrows
2592,217

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, 592217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 592,217 = 18,950,944

This can also be written as 25 x 592,2171 = 18,950,944

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


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