Q: What are the prime factors of the number 605,550,036?

 A: 2, 3, 7, 13, 11317

Why are those the prime factors of the number 605,550,036?

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 605,550,036

605,550,036
Factor Arrows
2302,775,018
Factor Arrows
2151,387,509
Factor Arrows
350,462,503
Factor Arrows
77,208,929
Factor Arrows
71,029,847
Factor Arrows
7147,121
Factor Arrows
1311,317

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, 7, 13, 11317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 7 x 13 x 11,317 = 605,550,036

This can also be written as 22 x 31 x 73 x 131 x 11,3171 = 605,550,036

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


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