Q: What are the prime factors of the number 610,330,385?

 A: 5, 7, 613, 28447

Why are those the prime factors of the number 610,330,385?

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 610,330,385

610,330,385
Factor Arrows
5122,066,077
Factor Arrows
717,438,011
Factor Arrows
61328,447

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:

5, 7, 613, 28447

We can check our work by multiplying all of the prime factors together: 5 x 7 x 613 x 28,447 = 610,330,385

This can also be written as 51 x 71 x 6131 x 28,4471 = 610,330,385

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


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