Q: What are the prime factors of the number 43,650,333?

 A: 3, 6653

Why are those the prime factors of the number 43,650,333?

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 43,650,333

43,650,333
Factor Arrows
314,550,111
Factor Arrows
34,850,037
Factor Arrows
31,616,679
Factor Arrows
3538,893
Factor Arrows
3179,631
Factor Arrows
359,877
Factor Arrows
319,959
Factor Arrows
36,653

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, 6653

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 6,653 = 43,650,333

This can also be written as 38 x 6,6531 = 43,650,333

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


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