Q: What are the prime factors of the number 106,388,720?

 A: 2, 5, 17, 137, 571

Why are those the prime factors of the number 106,388,720?

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 106,388,720

106,388,720
Factor Arrows
253,194,360
Factor Arrows
226,597,180
Factor Arrows
213,298,590
Factor Arrows
26,649,295
Factor Arrows
51,329,859
Factor Arrows
1778,227
Factor Arrows
137571

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, 5, 17, 137, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 17 x 137 x 571 = 106,388,720

This can also be written as 24 x 51 x 171 x 1371 x 5711 = 106,388,720

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


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