Q: What are the prime factors of the number 41,250,460?

 A: 2, 5, 31, 66533

Why are those the prime factors of the number 41,250,460?

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 41,250,460

41,250,460
Factor Arrows
220,625,230
Factor Arrows
210,312,615
Factor Arrows
52,062,523
Factor Arrows
3166,533

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, 5, 31, 66533

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 31 x 66,533 = 41,250,460

This can also be written as 22 x 51 x 311 x 66,5331 = 41,250,460

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


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