Q: What are the prime factors of the number 677,170,710?

 A: 2, 3, 5, 7524119

Why are those the prime factors of the number 677,170,710?

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 677,170,710

677,170,710
Factor Arrows
2338,585,355
Factor Arrows
3112,861,785
Factor Arrows
337,620,595
Factor Arrows
57,524,119

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, 5, 7524119

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7,524,119 = 677,170,710

This can also be written as 21 x 32 x 51 x 7,524,1191 = 677,170,710

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


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