Q: What are the prime factors of the number 109,063,687?

 A: 17, 79, 281

Why are those the prime factors of the number 109,063,687?

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 109,063,687

109,063,687
Factor Arrows
176,415,511
Factor Arrows
17377,383
Factor Arrows
1722,199
Factor Arrows
79281

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:

17, 79, 281

We can check our work by multiplying all of the prime factors together: 17 x 17 x 17 x 79 x 281 = 109,063,687

This can also be written as 173 x 791 x 2811 = 109,063,687

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


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