Q: What are the prime factors of the number 8,500,576?

 A: 2, 7, 137, 277

Why are those the prime factors of the number 8,500,576?

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 8,500,576

8,500,576
Factor Arrows
24,250,288
Factor Arrows
22,125,144
Factor Arrows
21,062,572
Factor Arrows
2531,286
Factor Arrows
2265,643
Factor Arrows
737,949
Factor Arrows
137277

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, 7, 137, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 137 x 277 = 8,500,576

This can also be written as 25 x 71 x 1371 x 2771 = 8,500,576

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


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