Q: What are the prime factors of the number 670,356,480?

 A: 2, 3, 5, 19, 2297

Why are those the prime factors of the number 670,356,480?

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 670,356,480

670,356,480
Factor Arrows
2335,178,240
Factor Arrows
2167,589,120
Factor Arrows
283,794,560
Factor Arrows
241,897,280
Factor Arrows
220,948,640
Factor Arrows
210,474,320
Factor Arrows
25,237,160
Factor Arrows
22,618,580
Factor Arrows
21,309,290
Factor Arrows
2654,645
Factor Arrows
3218,215
Factor Arrows
543,643
Factor Arrows
192,297

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, 19, 2297

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 x 2,297 = 670,356,480

This can also be written as 210 x 31 x 51 x 191 x 2,2971 = 670,356,480

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


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