Q: What are the prime factors of the number 1,059,088?

 A: 2, 37, 1789

Why are those the prime factors of the number 1,059,088?

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 1,059,088

1,059,088
Factor Arrows
2529,544
Factor Arrows
2264,772
Factor Arrows
2132,386
Factor Arrows
266,193
Factor Arrows
371,789

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, 37, 1789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 37 x 1,789 = 1,059,088

This can also be written as 24 x 371 x 1,7891 = 1,059,088

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


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