Q: What are the prime factors of the number 43,503,360?

 A: 2, 3, 5, 11329

Why are those the prime factors of the number 43,503,360?

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 43,503,360

43,503,360
Factor Arrows
221,751,680
Factor Arrows
210,875,840
Factor Arrows
25,437,920
Factor Arrows
22,718,960
Factor Arrows
21,359,480
Factor Arrows
2679,740
Factor Arrows
2339,870
Factor Arrows
2169,935
Factor Arrows
356,645
Factor Arrows
511,329

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, 11329

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 3 x 5 x 11,329 = 43,503,360

This can also be written as 28 x 31 x 51 x 11,3291 = 43,503,360

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


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