Q: What are the prime factors of the number 200,650,710?

 A: 2, 3, 5, 13, 29, 113, 157

Why are those the prime factors of the number 200,650,710?

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 200,650,710

200,650,710
Factor Arrows
2100,325,355
Factor Arrows
333,441,785
Factor Arrows
56,688,357
Factor Arrows
13514,489
Factor Arrows
2917,741
Factor Arrows
113157

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, 29, 113, 157

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13 x 29 x 113 x 157 = 200,650,710

This can also be written as 21 x 31 x 51 x 131 x 291 x 1131 x 1571 = 200,650,710

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


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