Q: What are the prime factors of the number 605,314,550?

 A: 2, 5, 12106291

Why are those the prime factors of the number 605,314,550?

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 605,314,550

605,314,550
Factor Arrows
2302,657,275
Factor Arrows
560,531,455
Factor Arrows
512,106,291

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, 12106291

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 12,106,291 = 605,314,550

This can also be written as 21 x 52 x 12,106,2911 = 605,314,550

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


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