Q: What are the prime factors of the number 670,266,720?

 A: 2, 3, 5, 465463

Why are those the prime factors of the number 670,266,720?

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 670,266,720

670,266,720
Factor Arrows
2335,133,360
Factor Arrows
2167,566,680
Factor Arrows
283,783,340
Factor Arrows
241,891,670
Factor Arrows
220,945,835
Factor Arrows
36,981,945
Factor Arrows
32,327,315
Factor Arrows
5465,463

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, 465463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 465,463 = 670,266,720

This can also be written as 25 x 32 x 51 x 465,4631 = 670,266,720

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


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