Q: What are the prime factors of the number 41,600,385?

 A: 3, 5, 101, 113

Why are those the prime factors of the number 41,600,385?

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 41,600,385

41,600,385
Factor Arrows
313,866,795
Factor Arrows
34,622,265
Factor Arrows
31,540,755
Factor Arrows
3513,585
Factor Arrows
3171,195
Factor Arrows
357,065
Factor Arrows
511,413
Factor Arrows
101113

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, 101, 113

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 101 x 113 = 41,600,385

This can also be written as 36 x 51 x 1011 x 1131 = 41,600,385

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


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