Q: What are the prime factors of the number 650,240,055?

 A: 3, 5, 17, 31481

Why are those the prime factors of the number 650,240,055?

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 650,240,055

650,240,055
Factor Arrows
3216,746,685
Factor Arrows
372,248,895
Factor Arrows
324,082,965
Factor Arrows
38,027,655
Factor Arrows
32,675,885
Factor Arrows
5535,177
Factor Arrows
1731,481

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, 17, 31481

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 17 x 31,481 = 650,240,055

This can also be written as 35 x 51 x 171 x 31,4811 = 650,240,055

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


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