Q: What are the prime factors of the number 43,060,446?

 A: 2, 3, 11, 13, 16729

Why are those the prime factors of the number 43,060,446?

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 43,060,446

43,060,446
Factor Arrows
221,530,223
Factor Arrows
37,176,741
Factor Arrows
32,392,247
Factor Arrows
11217,477
Factor Arrows
1316,729

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, 11, 13, 16729

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 13 x 16,729 = 43,060,446

This can also be written as 21 x 32 x 111 x 131 x 16,7291 = 43,060,446

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


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