Q: What are the prime factors of the number 41,105,056?

 A: 2, 19, 67607

Why are those the prime factors of the number 41,105,056?

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 41,105,056

41,105,056
Factor Arrows
220,552,528
Factor Arrows
210,276,264
Factor Arrows
25,138,132
Factor Arrows
22,569,066
Factor Arrows
21,284,533
Factor Arrows
1967,607

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, 19, 67607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 67,607 = 41,105,056

This can also be written as 25 x 191 x 67,6071 = 41,105,056

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


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