Q: What are the prime factors of the number 102,211,110?

 A: 2, 3, 5, 283, 4013

Why are those the prime factors of the number 102,211,110?

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 102,211,110

102,211,110
Factor Arrows
251,105,555
Factor Arrows
317,035,185
Factor Arrows
35,678,395
Factor Arrows
51,135,679
Factor Arrows
2834,013

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:

2, 3, 5, 283, 4013

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 283 x 4,013 = 102,211,110

This can also be written as 21 x 32 x 51 x 2831 x 4,0131 = 102,211,110

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


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