Q: What are the prime factors of the number 8,030,080?

 A: 2, 5, 12547

Why are those the prime factors of the number 8,030,080?

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 8,030,080

8,030,080
Factor Arrows
24,015,040
Factor Arrows
22,007,520
Factor Arrows
21,003,760
Factor Arrows
2501,880
Factor Arrows
2250,940
Factor Arrows
2125,470
Factor Arrows
262,735
Factor Arrows
512,547

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, 5, 12547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 12,547 = 8,030,080

This can also be written as 27 x 51 x 12,5471 = 8,030,080

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


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