Q: What are the prime factors of the number 215,530,330?

 A: 2, 5, 53, 406661

Why are those the prime factors of the number 215,530,330?

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 215,530,330

215,530,330
Factor Arrows
2107,765,165
Factor Arrows
521,553,033
Factor Arrows
53406,661

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, 53, 406661

We can check our work by multiplying all of the prime factors together: 2 x 5 x 53 x 406,661 = 215,530,330

This can also be written as 21 x 51 x 531 x 406,6611 = 215,530,330

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


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