Q: What are the prime factors of the number 40,418,082?

 A: 2, 3, 449, 1667

Why are those the prime factors of the number 40,418,082?

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 40,418,082

40,418,082
Factor Arrows
220,209,041
Factor Arrows
36,736,347
Factor Arrows
32,245,449
Factor Arrows
3748,483
Factor Arrows
4491,667

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, 449, 1667

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 449 x 1,667 = 40,418,082

This can also be written as 21 x 33 x 4491 x 1,6671 = 40,418,082

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


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