Q: What are the prime factors of the number 41,101,060?

 A: 2, 5, 7, 11, 13, 2053

Why are those the prime factors of the number 41,101,060?

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 41,101,060

41,101,060
Factor Arrows
220,550,530
Factor Arrows
210,275,265
Factor Arrows
52,055,053
Factor Arrows
7293,579
Factor Arrows
1126,689
Factor Arrows
132,053

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, 7, 11, 13, 2053

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 13 x 2,053 = 41,101,060

This can also be written as 22 x 51 x 71 x 111 x 131 x 2,0531 = 41,101,060

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


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