Q: What are the prime factors of the number 104,210,640?

 A: 2, 3, 5, 144737

Why are those the prime factors of the number 104,210,640?

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 104,210,640

104,210,640
Factor Arrows
252,105,320
Factor Arrows
226,052,660
Factor Arrows
213,026,330
Factor Arrows
26,513,165
Factor Arrows
32,171,055
Factor Arrows
3723,685
Factor Arrows
5144,737

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, 5, 144737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 144,737 = 104,210,640

This can also be written as 24 x 32 x 51 x 144,7371 = 104,210,640

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


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