Q: What are the prime factors of the number 16,061,440?

 A: 2, 5, 3137

Why are those the prime factors of the number 16,061,440?

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 16,061,440

16,061,440
Factor Arrows
28,030,720
Factor Arrows
24,015,360
Factor Arrows
22,007,680
Factor Arrows
21,003,840
Factor Arrows
2501,920
Factor Arrows
2250,960
Factor Arrows
2125,480
Factor Arrows
262,740
Factor Arrows
231,370
Factor Arrows
215,685
Factor Arrows
53,137

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, 3137

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 5 x 3,137 = 16,061,440

This can also be written as 210 x 51 x 3,1371 = 16,061,440

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


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