Q: What are the prime factors of the number 210,006,640?

 A: 2, 5, 71, 36973

Why are those the prime factors of the number 210,006,640?

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 210,006,640

210,006,640
Factor Arrows
2105,003,320
Factor Arrows
252,501,660
Factor Arrows
226,250,830
Factor Arrows
213,125,415
Factor Arrows
52,625,083
Factor Arrows
7136,973

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, 5, 71, 36973

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 71 x 36,973 = 210,006,640

This can also be written as 24 x 51 x 711 x 36,9731 = 210,006,640

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


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