Q: What are the prime factors of the number 28,425,897?

 A: 3, 38993

Why are those the prime factors of the number 28,425,897?

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 28,425,897

28,425,897
Factor Arrows
39,475,299
Factor Arrows
33,158,433
Factor Arrows
31,052,811
Factor Arrows
3350,937
Factor Arrows
3116,979
Factor Arrows
338,993

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:

3, 38993

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 38,993 = 28,425,897

This can also be written as 36 x 38,9931 = 28,425,897

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


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