Q: What are the prime factors of the number 563,606,422?

 A: 2, 37, 47, 347, 467

Why are those the prime factors of the number 563,606,422?

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 563,606,422

563,606,422
Factor Arrows
2281,803,211
Factor Arrows
377,616,303
Factor Arrows
47162,049
Factor Arrows
347467

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, 37, 47, 347, 467

We can check our work by multiplying all of the prime factors together: 2 x 37 x 47 x 347 x 467 = 563,606,422

This can also be written as 21 x 371 x 471 x 3471 x 4671 = 563,606,422

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


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