Q: What are the prime factors of the number 41,552,325?

 A: 3, 5, 61559

Why are those the prime factors of the number 41,552,325?

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 41,552,325

41,552,325
Factor Arrows
313,850,775
Factor Arrows
34,616,925
Factor Arrows
31,538,975
Factor Arrows
5307,795
Factor Arrows
561,559

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, 61559

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5 x 61,559 = 41,552,325

This can also be written as 33 x 52 x 61,5591 = 41,552,325

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


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