Q: What are the prime factors of the number 8,919,552?

 A: 2, 3, 5807

Why are those the prime factors of the number 8,919,552?

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 8,919,552

8,919,552
Factor Arrows
24,459,776
Factor Arrows
22,229,888
Factor Arrows
21,114,944
Factor Arrows
2557,472
Factor Arrows
2278,736
Factor Arrows
2139,368
Factor Arrows
269,684
Factor Arrows
234,842
Factor Arrows
217,421
Factor Arrows
35,807

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, 5807

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 2 x 2 x 3 x 5,807 = 8,919,552

This can also be written as 29 x 31 x 5,8071 = 8,919,552

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


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