Q: What are the prime factors of the number 570,652,030?

 A: 2, 5, 13, 31, 141601

Why are those the prime factors of the number 570,652,030?

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 570,652,030

570,652,030
Factor Arrows
2285,326,015
Factor Arrows
557,065,203
Factor Arrows
134,389,631
Factor Arrows
31141,601

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, 13, 31, 141601

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 31 x 141,601 = 570,652,030

This can also be written as 21 x 51 x 131 x 311 x 141,6011 = 570,652,030

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


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