Q: What are the prime factors of the number 620,613,526?

 A: 2, 13, 17, 701, 2003

Why are those the prime factors of the number 620,613,526?

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 620,613,526

620,613,526
Factor Arrows
2310,306,763
Factor Arrows
1323,869,751
Factor Arrows
171,404,103
Factor Arrows
7012,003

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, 17, 701, 2003

We can check our work by multiplying all of the prime factors together: 2 x 13 x 17 x 701 x 2,003 = 620,613,526

This can also be written as 21 x 131 x 171 x 7011 x 2,0031 = 620,613,526

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


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