Q: What are the prime factors of the number 893,936?

 A: 2, 55871

Why are those the prime factors of the number 893,936?

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 893,936

893,936
Factor Arrows
2446,968
Factor Arrows
2223,484
Factor Arrows
2111,742
Factor Arrows
255,871

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, 55871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 55,871 = 893,936

This can also be written as 24 x 55,8711 = 893,936

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


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