Q: What are the prime factors of the number 210,234,016?

 A: 2, 6569813

Why are those the prime factors of the number 210,234,016?

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 210,234,016

210,234,016
Factor Arrows
2105,117,008
Factor Arrows
252,558,504
Factor Arrows
226,279,252
Factor Arrows
213,139,626
Factor Arrows
26,569,813

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, 6569813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 6,569,813 = 210,234,016

This can also be written as 25 x 6,569,8131 = 210,234,016

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


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