Q: What are the prime factors of the number 16,371,712?

 A: 2, 7, 571

Why are those the prime factors of the number 16,371,712?

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 16,371,712

16,371,712
Factor Arrows
28,185,856
Factor Arrows
24,092,928
Factor Arrows
22,046,464
Factor Arrows
21,023,232
Factor Arrows
2511,616
Factor Arrows
2255,808
Factor Arrows
2127,904
Factor Arrows
263,952
Factor Arrows
231,976
Factor Arrows
215,988
Factor Arrows
27,994
Factor Arrows
23,997
Factor Arrows
7571

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, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 571 = 16,371,712

This can also be written as 212 x 71 x 5711 = 16,371,712

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


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