Q: What are the prime factors of the number 41,873,922?

 A: 2, 3, 53, 4877

Why are those the prime factors of the number 41,873,922?

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 41,873,922

41,873,922
Factor Arrows
220,936,961
Factor Arrows
36,978,987
Factor Arrows
32,326,329
Factor Arrows
3775,443
Factor Arrows
3258,481
Factor Arrows
534,877

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, 3, 53, 4877

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 53 x 4,877 = 41,873,922

This can also be written as 21 x 34 x 531 x 4,8771 = 41,873,922

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


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