Q: What are the prime factors of the number 664,640,450?

 A: 2, 5, 263, 50543

Why are those the prime factors of the number 664,640,450?

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 664,640,450

664,640,450
Factor Arrows
2332,320,225
Factor Arrows
566,464,045
Factor Arrows
513,292,809
Factor Arrows
26350,543

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, 263, 50543

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 263 x 50,543 = 664,640,450

This can also be written as 21 x 52 x 2631 x 50,5431 = 664,640,450

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


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