Q: What are the prime factors of the number 905,568?

 A: 2, 3, 9433

Why are those the prime factors of the number 905,568?

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 905,568

905,568
Factor Arrows
2452,784
Factor Arrows
2226,392
Factor Arrows
2113,196
Factor Arrows
256,598
Factor Arrows
228,299
Factor Arrows
39,433

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, 3, 9433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 9,433 = 905,568

This can also be written as 25 x 31 x 9,4331 = 905,568

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


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