Q: What are the prime factors of the number 413,025,514?

 A: 2, 11, 677, 2521

Why are those the prime factors of the number 413,025,514?

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 413,025,514

413,025,514
Factor Arrows
2206,512,757
Factor Arrows
1118,773,887
Factor Arrows
111,706,717
Factor Arrows
6772,521

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, 11, 677, 2521

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 677 x 2,521 = 413,025,514

This can also be written as 21 x 112 x 6771 x 2,5211 = 413,025,514

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


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