Q: What are the prime factors of the number 110,000,380?

 A: 2, 5, 7, 785717

Why are those the prime factors of the number 110,000,380?

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 110,000,380

110,000,380
Factor Arrows
255,000,190
Factor Arrows
227,500,095
Factor Arrows
55,500,019
Factor Arrows
7785,717

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, 5, 7, 785717

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 785,717 = 110,000,380

This can also be written as 22 x 51 x 71 x 785,7171 = 110,000,380

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


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