Q: What are the prime factors of the number 604,235,360?

 A: 2, 5, 3776471

Why are those the prime factors of the number 604,235,360?

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 604,235,360

604,235,360
Factor Arrows
2302,117,680
Factor Arrows
2151,058,840
Factor Arrows
275,529,420
Factor Arrows
237,764,710
Factor Arrows
218,882,355
Factor Arrows
53,776,471

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, 3776471

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 3,776,471 = 604,235,360

This can also be written as 25 x 51 x 3,776,4711 = 604,235,360

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


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