Q: What are the prime factors of the number 14,170,880?

 A: 2, 5, 11071

Why are those the prime factors of the number 14,170,880?

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 14,170,880

14,170,880
Factor Arrows
27,085,440
Factor Arrows
23,542,720
Factor Arrows
21,771,360
Factor Arrows
2885,680
Factor Arrows
2442,840
Factor Arrows
2221,420
Factor Arrows
2110,710
Factor Arrows
255,355
Factor Arrows
511,071

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, 11071

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 5 x 11,071 = 14,170,880

This can also be written as 28 x 51 x 11,0711 = 14,170,880

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


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