Q: What are the prime factors of the number 563,120,608?

 A: 2, 29, 606811

Why are those the prime factors of the number 563,120,608?

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 563,120,608

563,120,608
Factor Arrows
2281,560,304
Factor Arrows
2140,780,152
Factor Arrows
270,390,076
Factor Arrows
235,195,038
Factor Arrows
217,597,519
Factor Arrows
29606,811

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, 29, 606811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 29 x 606,811 = 563,120,608

This can also be written as 25 x 291 x 606,8111 = 563,120,608

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


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