Q: What are the prime factors of the number 40,711,422?

 A: 2, 3, 379, 17903

Why are those the prime factors of the number 40,711,422?

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 40,711,422

40,711,422
Factor Arrows
220,355,711
Factor Arrows
36,785,237
Factor Arrows
37917,903

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, 379, 17903

We can check our work by multiplying all of the prime factors together: 2 x 3 x 379 x 17,903 = 40,711,422

This can also be written as 21 x 31 x 3791 x 17,9031 = 40,711,422

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


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