Q: What are the prime factors of the number 210,520,650?

 A: 2, 3, 5, 41, 34231

Why are those the prime factors of the number 210,520,650?

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 210,520,650

210,520,650
Factor Arrows
2105,260,325
Factor Arrows
335,086,775
Factor Arrows
57,017,355
Factor Arrows
51,403,471
Factor Arrows
4134,231

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, 41, 34231

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 41 x 34,231 = 210,520,650

This can also be written as 21 x 31 x 52 x 411 x 34,2311 = 210,520,650

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


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