Q: What are the prime factors of the number 40,073,067?

 A: 3, 991, 4493

Why are those the prime factors of the number 40,073,067?

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 40,073,067

40,073,067
Factor Arrows
313,357,689
Factor Arrows
34,452,563
Factor Arrows
9914,493

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, 991, 4493

We can check our work by multiplying all of the prime factors together: 3 x 3 x 991 x 4,493 = 40,073,067

This can also be written as 32 x 9911 x 4,4931 = 40,073,067

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


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