Q: What are the prime factors of the number 111,106,161?

 A: 3, 101, 503

Why are those the prime factors of the number 111,106,161?

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 111,106,161

111,106,161
Factor Arrows
337,035,387
Factor Arrows
312,345,129
Factor Arrows
34,115,043
Factor Arrows
31,371,681
Factor Arrows
3457,227
Factor Arrows
3152,409
Factor Arrows
350,803
Factor Arrows
101503

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, 101, 503

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 101 x 503 = 111,106,161

This can also be written as 37 x 1011 x 5031 = 111,106,161

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


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