Q: What are the prime factors of the number 28,821,006?

 A: 2, 3, 317, 5051

Why are those the prime factors of the number 28,821,006?

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 28,821,006

28,821,006
Factor Arrows
214,410,503
Factor Arrows
34,803,501
Factor Arrows
31,601,167
Factor Arrows
3175,051

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, 317, 5051

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 317 x 5,051 = 28,821,006

This can also be written as 21 x 32 x 3171 x 5,0511 = 28,821,006

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


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