Q: What are the prime factors of the number 43,030,016?

 A: 2, 229, 367

Why are those the prime factors of the number 43,030,016?

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 43,030,016

43,030,016
Factor Arrows
221,515,008
Factor Arrows
210,757,504
Factor Arrows
25,378,752
Factor Arrows
22,689,376
Factor Arrows
21,344,688
Factor Arrows
2672,344
Factor Arrows
2336,172
Factor Arrows
2168,086
Factor Arrows
284,043
Factor Arrows
229367

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, 229, 367

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 229 x 367 = 43,030,016

This can also be written as 29 x 2291 x 3671 = 43,030,016

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


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