Q: What are the prime factors of the number 20,993,854?

 A: 2, 7, 29, 83, 89

Why are those the prime factors of the number 20,993,854?

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 20,993,854

20,993,854
Factor Arrows
210,496,927
Factor Arrows
71,499,561
Factor Arrows
7214,223
Factor Arrows
297,387
Factor Arrows
8389

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, 7, 29, 83, 89

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 29 x 83 x 89 = 20,993,854

This can also be written as 21 x 72 x 291 x 831 x 891 = 20,993,854

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


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