Q: What are the prime factors of the number 8,320,560?

 A: 2, 3, 5, 37, 937

Why are those the prime factors of the number 8,320,560?

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 8,320,560

8,320,560
Factor Arrows
24,160,280
Factor Arrows
22,080,140
Factor Arrows
21,040,070
Factor Arrows
2520,035
Factor Arrows
3173,345
Factor Arrows
534,669
Factor Arrows
37937

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, 5, 37, 937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 37 x 937 = 8,320,560

This can also be written as 24 x 31 x 51 x 371 x 9371 = 8,320,560

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


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