Q: What are the prime factors of the number 110,835,681?

 A: 3, 11, 73, 139, 331

Why are those the prime factors of the number 110,835,681?

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 110,835,681

110,835,681
Factor Arrows
336,945,227
Factor Arrows
113,358,657
Factor Arrows
7346,009
Factor Arrows
139331

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, 73, 139, 331

We can check our work by multiplying all of the prime factors together: 3 x 11 x 73 x 139 x 331 = 110,835,681

This can also be written as 31 x 111 x 731 x 1391 x 3311 = 110,835,681

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


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