Q: What are the prime factors of the number 650,145,520?

 A: 2, 5, 8126819

Why are those the prime factors of the number 650,145,520?

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 650,145,520

650,145,520
Factor Arrows
2325,072,760
Factor Arrows
2162,536,380
Factor Arrows
281,268,190
Factor Arrows
240,634,095
Factor Arrows
58,126,819

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, 8126819

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 8,126,819 = 650,145,520

This can also be written as 24 x 51 x 8,126,8191 = 650,145,520

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


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