Q: What are the prime factors of the number 610,664,748?

 A: 2, 3, 50888729

Why are those the prime factors of the number 610,664,748?

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 610,664,748

610,664,748
Factor Arrows
2305,332,374
Factor Arrows
2152,666,187
Factor Arrows
350,888,729

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, 50888729

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 50,888,729 = 610,664,748

This can also be written as 22 x 31 x 50,888,7291 = 610,664,748

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


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