Q: What are the prime factors of the number 43,339,215?

 A: 3, 5, 199, 14519

Why are those the prime factors of the number 43,339,215?

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 43,339,215

43,339,215
Factor Arrows
314,446,405
Factor Arrows
52,889,281
Factor Arrows
19914,519

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:

3, 5, 199, 14519

We can check our work by multiplying all of the prime factors together: 3 x 5 x 199 x 14,519 = 43,339,215

This can also be written as 31 x 51 x 1991 x 14,5191 = 43,339,215

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


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