Q: What are the prime factors of the number 40,424,238?

 A: 2, 3, 748597

Why are those the prime factors of the number 40,424,238?

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 40,424,238

40,424,238
Factor Arrows
220,212,119
Factor Arrows
36,737,373
Factor Arrows
32,245,791
Factor Arrows
3748,597

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, 748597

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 748,597 = 40,424,238

This can also be written as 21 x 33 x 748,5971 = 40,424,238

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


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