Q: What are the prime factors of the number 605,470,520?

 A: 2, 5, 15136763

Why are those the prime factors of the number 605,470,520?

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 605,470,520

605,470,520
Factor Arrows
2302,735,260
Factor Arrows
2151,367,630
Factor Arrows
275,683,815
Factor Arrows
515,136,763

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, 5, 15136763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 15,136,763 = 605,470,520

This can also be written as 23 x 51 x 15,136,7631 = 605,470,520

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


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