Q: What are the prime factors of the number 40,394,928?

 A: 2, 3, 7, 120223

Why are those the prime factors of the number 40,394,928?

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 40,394,928

40,394,928
Factor Arrows
220,197,464
Factor Arrows
210,098,732
Factor Arrows
25,049,366
Factor Arrows
22,524,683
Factor Arrows
3841,561
Factor Arrows
7120,223

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, 7, 120223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 120,223 = 40,394,928

This can also be written as 24 x 31 x 71 x 120,2231 = 40,394,928

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


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