Q: What are the prime factors of the number 43,367,082?

 A: 2, 3, 11, 19, 34583

Why are those the prime factors of the number 43,367,082?

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 43,367,082

43,367,082
Factor Arrows
221,683,541
Factor Arrows
37,227,847
Factor Arrows
11657,077
Factor Arrows
1934,583

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, 19, 34583

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 19 x 34,583 = 43,367,082

This can also be written as 21 x 31 x 111 x 191 x 34,5831 = 43,367,082

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


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