Q: What are the prime factors of the number 412,544,502?

 A: 2, 3, 848857

Why are those the prime factors of the number 412,544,502?

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 412,544,502

412,544,502
Factor Arrows
2206,272,251
Factor Arrows
368,757,417
Factor Arrows
322,919,139
Factor Arrows
37,639,713
Factor Arrows
32,546,571
Factor Arrows
3848,857

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, 848857

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 848,857 = 412,544,502

This can also be written as 21 x 35 x 848,8571 = 412,544,502

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


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