Q: What are the prime factors of the number 111,021,028?

 A: 2, 19, 73, 20011

Why are those the prime factors of the number 111,021,028?

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 111,021,028

111,021,028
Factor Arrows
255,510,514
Factor Arrows
227,755,257
Factor Arrows
191,460,803
Factor Arrows
7320,011

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, 19, 73, 20011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 73 x 20,011 = 111,021,028

This can also be written as 22 x 191 x 731 x 20,0111 = 111,021,028

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


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