Q: What are the prime factors of the number 187,760,001?

 A: 3, 11, 13, 541, 809

Why are those the prime factors of the number 187,760,001?

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 187,760,001

187,760,001
Factor Arrows
362,586,667
Factor Arrows
115,689,697
Factor Arrows
13437,669
Factor Arrows
541809

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:

3, 11, 13, 541, 809

We can check our work by multiplying all of the prime factors together: 3 x 11 x 13 x 541 x 809 = 187,760,001

This can also be written as 31 x 111 x 131 x 5411 x 8091 = 187,760,001

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


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