Q: What are the prime factors of the number 610,164,555?

 A: 3, 5, 7, 11, 13, 40637

Why are those the prime factors of the number 610,164,555?

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 610,164,555

610,164,555
Factor Arrows
3203,388,185
Factor Arrows
540,677,637
Factor Arrows
75,811,091
Factor Arrows
11528,281
Factor Arrows
1340,637

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:

3, 5, 7, 11, 13, 40637

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 11 x 13 x 40,637 = 610,164,555

This can also be written as 31 x 51 x 71 x 111 x 131 x 40,6371 = 610,164,555

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


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