Q: What are the prime factors of the number 200,670?

 A: 2, 3, 5, 6689

Why are those the prime factors of the number 200,670?

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 200,670

200,670
Factor Arrows
2100,335
Factor Arrows
333,445
Factor Arrows
56,689

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, 6689

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 6,689 = 200,670

This can also be written as 21 x 31 x 51 x 6,6891 = 200,670

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


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