Q: What are the prime factors of the number 605,414,645?

 A: 5, 11, 137, 80347

Why are those the prime factors of the number 605,414,645?

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 605,414,645

605,414,645
Factor Arrows
5121,082,929
Factor Arrows
1111,007,539
Factor Arrows
13780,347

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:

5, 11, 137, 80347

We can check our work by multiplying all of the prime factors together: 5 x 11 x 137 x 80,347 = 605,414,645

This can also be written as 51 x 111 x 1371 x 80,3471 = 605,414,645

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


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