Q: What are the prime factors of the number 110,000,220?

 A: 2, 3, 5, 11, 166667

Why are those the prime factors of the number 110,000,220?

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 110,000,220

110,000,220
Factor Arrows
255,000,110
Factor Arrows
227,500,055
Factor Arrows
39,166,685
Factor Arrows
51,833,337
Factor Arrows
11166,667

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, 11, 166667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 166,667 = 110,000,220

This can also be written as 22 x 31 x 51 x 111 x 166,6671 = 110,000,220

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


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