Q: What are the prime factors of the number 200,011,042?

 A: 2, 7, 11, 185539

Why are those the prime factors of the number 200,011,042?

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 200,011,042

200,011,042
Factor Arrows
2100,005,521
Factor Arrows
714,286,503
Factor Arrows
72,040,929
Factor Arrows
11185,539

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, 7, 11, 185539

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 11 x 185,539 = 200,011,042

This can also be written as 21 x 72 x 111 x 185,5391 = 200,011,042

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


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