Q: What are the prime factors of the number 887,088?

 A: 2, 3, 18481

Why are those the prime factors of the number 887,088?

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 887,088

887,088
Factor Arrows
2443,544
Factor Arrows
2221,772
Factor Arrows
2110,886
Factor Arrows
255,443
Factor Arrows
318,481

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, 18481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 18,481 = 887,088

This can also be written as 24 x 31 x 18,4811 = 887,088

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


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