Q: What are the prime factors of the number 200,011,131?

 A: 3, 61, 139, 2621

Why are those the prime factors of the number 200,011,131?

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 200,011,131

200,011,131
Factor Arrows
366,670,377
Factor Arrows
322,223,459
Factor Arrows
61364,319
Factor Arrows
1392,621

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:

3, 61, 139, 2621

We can check our work by multiplying all of the prime factors together: 3 x 3 x 61 x 139 x 2,621 = 200,011,131

This can also be written as 32 x 611 x 1391 x 2,6211 = 200,011,131

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


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