Q: What are the prime factors of the number 110,263,035?

 A: 3, 5, 23, 59, 5417

Why are those the prime factors of the number 110,263,035?

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 110,263,035

110,263,035
Factor Arrows
336,754,345
Factor Arrows
57,350,869
Factor Arrows
23319,603
Factor Arrows
595,417

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, 5, 23, 59, 5417

We can check our work by multiplying all of the prime factors together: 3 x 5 x 23 x 59 x 5,417 = 110,263,035

This can also be written as 31 x 51 x 231 x 591 x 5,4171 = 110,263,035

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


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