Q: What are the prime factors of the number 43,620,621?

 A: 3, 11, 120167

Why are those the prime factors of the number 43,620,621?

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 43,620,621

43,620,621
Factor Arrows
314,540,207
Factor Arrows
111,321,837
Factor Arrows
11120,167

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, 11, 120167

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 120,167 = 43,620,621

This can also be written as 31 x 112 x 120,1671 = 43,620,621

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


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