Q: What are the prime factors of the number 894,088?

 A: 2, 13, 8597

Why are those the prime factors of the number 894,088?

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 894,088

894,088
Factor Arrows
2447,044
Factor Arrows
2223,522
Factor Arrows
2111,761
Factor Arrows
138,597

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, 13, 8597

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 8,597 = 894,088

This can also be written as 23 x 131 x 8,5971 = 894,088

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


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