Q: What are the prime factors of the number 605,731,168?

 A: 2, 7, 2704157

Why are those the prime factors of the number 605,731,168?

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 605,731,168

605,731,168
Factor Arrows
2302,865,584
Factor Arrows
2151,432,792
Factor Arrows
275,716,396
Factor Arrows
237,858,198
Factor Arrows
218,929,099
Factor Arrows
72,704,157

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, 2704157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 2,704,157 = 605,731,168

This can also be written as 25 x 71 x 2,704,1571 = 605,731,168

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


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