Q: What are the prime factors of the number 644,100,012?

 A: 2, 3, 17, 337, 347

Why are those the prime factors of the number 644,100,012?

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 644,100,012

644,100,012
Factor Arrows
2322,050,006
Factor Arrows
2161,025,003
Factor Arrows
353,675,001
Factor Arrows
317,891,667
Factor Arrows
35,963,889
Factor Arrows
31,987,963
Factor Arrows
17116,939
Factor Arrows
337347

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, 3, 17, 337, 347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 17 x 337 x 347 = 644,100,012

This can also be written as 22 x 34 x 171 x 3371 x 3471 = 644,100,012

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


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