Q: What are the prime factors of the number 606,432,558?

 A: 2, 3, 41, 107, 23039

Why are those the prime factors of the number 606,432,558?

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 606,432,558

606,432,558
Factor Arrows
2303,216,279
Factor Arrows
3101,072,093
Factor Arrows
412,465,173
Factor Arrows
10723,039

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, 3, 41, 107, 23039

We can check our work by multiplying all of the prime factors together: 2 x 3 x 41 x 107 x 23,039 = 606,432,558

This can also be written as 21 x 31 x 411 x 1071 x 23,0391 = 606,432,558

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


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