Q: What are the prime factors of the number 8,054,436?

 A: 2, 3, 13, 51631

Why are those the prime factors of the number 8,054,436?

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 8,054,436

8,054,436
Factor Arrows
24,027,218
Factor Arrows
22,013,609
Factor Arrows
3671,203
Factor Arrows
1351,631

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, 13, 51631

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 51,631 = 8,054,436

This can also be written as 22 x 31 x 131 x 51,6311 = 8,054,436

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


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