Q: What are the prime factors of the number 883,088?

 A: 2, 97, 569

Why are those the prime factors of the number 883,088?

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 883,088

883,088
Factor Arrows
2441,544
Factor Arrows
2220,772
Factor Arrows
2110,386
Factor Arrows
255,193
Factor Arrows
97569

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, 97, 569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 97 x 569 = 883,088

This can also be written as 24 x 971 x 5691 = 883,088

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


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