Q: What are the prime factors of the number 18,937,841?

 A: 13, 29, 191, 263

Why are those the prime factors of the number 18,937,841?

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 18,937,841

18,937,841
Factor Arrows
131,456,757
Factor Arrows
2950,233
Factor Arrows
191263

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:

13, 29, 191, 263

We can check our work by multiplying all of the prime factors together: 13 x 29 x 191 x 263 = 18,937,841

This can also be written as 131 x 291 x 1911 x 2631 = 18,937,841

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


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