Q: What are the prime factors of the number 620,474,608?

 A: 2, 13, 37, 2179

Why are those the prime factors of the number 620,474,608?

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 620,474,608

620,474,608
Factor Arrows
2310,237,304
Factor Arrows
2155,118,652
Factor Arrows
277,559,326
Factor Arrows
238,779,663
Factor Arrows
132,983,051
Factor Arrows
3780,623
Factor Arrows
372,179

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, 13, 37, 2179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 37 x 37 x 2,179 = 620,474,608

This can also be written as 24 x 131 x 372 x 2,1791 = 620,474,608

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


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