Q: What are the prime factors of the number 893,408?

 A: 2, 27919

Why are those the prime factors of the number 893,408?

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 893,408

893,408
Factor Arrows
2446,704
Factor Arrows
2223,352
Factor Arrows
2111,676
Factor Arrows
255,838
Factor Arrows
227,919

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, 27919

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 27,919 = 893,408

This can also be written as 25 x 27,9191 = 893,408

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


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