Q: What are the prime factors of the number 644,663,012?

 A: 2, 7, 67, 7013

Why are those the prime factors of the number 644,663,012?

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 644,663,012

644,663,012
Factor Arrows
2322,331,506
Factor Arrows
2161,165,753
Factor Arrows
723,023,679
Factor Arrows
73,289,097
Factor Arrows
7469,871
Factor Arrows
677,013

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, 67, 7013

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 67 x 7,013 = 644,663,012

This can also be written as 22 x 73 x 671 x 7,0131 = 644,663,012

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


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