Q: What are the prime factors of the number 518,083,410?

 A: 2, 3, 5, 13, 193, 6883

Why are those the prime factors of the number 518,083,410?

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 518,083,410

518,083,410
Factor Arrows
2259,041,705
Factor Arrows
386,347,235
Factor Arrows
517,269,447
Factor Arrows
131,328,419
Factor Arrows
1936,883

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, 5, 13, 193, 6883

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13 x 193 x 6,883 = 518,083,410

This can also be written as 21 x 31 x 51 x 131 x 1931 x 6,8831 = 518,083,410

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


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