Q: What are the prime factors of the number 577,632,368?

 A: 2, 197, 183259

Why are those the prime factors of the number 577,632,368?

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 577,632,368

577,632,368
Factor Arrows
2288,816,184
Factor Arrows
2144,408,092
Factor Arrows
272,204,046
Factor Arrows
236,102,023
Factor Arrows
197183,259

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, 197, 183259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 197 x 183,259 = 577,632,368

This can also be written as 24 x 1971 x 183,2591 = 577,632,368

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


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