Q: What are the prime factors of the number 422,332,245?

 A: 3, 5, 37, 84551

Why are those the prime factors of the number 422,332,245?

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 422,332,245

422,332,245
Factor Arrows
3140,777,415
Factor Arrows
346,925,805
Factor Arrows
315,641,935
Factor Arrows
53,128,387
Factor Arrows
3784,551

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, 5, 37, 84551

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 37 x 84,551 = 422,332,245

This can also be written as 33 x 51 x 371 x 84,5511 = 422,332,245

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


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