Q: What are the prime factors of the number 605,243,254?

 A: 2, 7, 11, 89, 44159

Why are those the prime factors of the number 605,243,254?

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 605,243,254

605,243,254
Factor Arrows
2302,621,627
Factor Arrows
743,231,661
Factor Arrows
113,930,151
Factor Arrows
8944,159

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, 7, 11, 89, 44159

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 89 x 44,159 = 605,243,254

This can also be written as 21 x 71 x 111 x 891 x 44,1591 = 605,243,254

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


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