Q: What are the prime factors of the number 111,211,137?

 A: 3, 211, 241

Why are those the prime factors of the number 111,211,137?

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 111,211,137

111,211,137
Factor Arrows
337,070,379
Factor Arrows
312,356,793
Factor Arrows
34,118,931
Factor Arrows
31,372,977
Factor Arrows
3457,659
Factor Arrows
3152,553
Factor Arrows
350,851
Factor Arrows
211241

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, 211, 241

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 211 x 241 = 111,211,137

This can also be written as 37 x 2111 x 2411 = 111,211,137

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


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