Q: What are the prime factors of the number 110,104,342?

 A: 2, 17, 101, 32063

Why are those the prime factors of the number 110,104,342?

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 110,104,342

110,104,342
Factor Arrows
255,052,171
Factor Arrows
173,238,363
Factor Arrows
10132,063

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, 17, 101, 32063

We can check our work by multiplying all of the prime factors together: 2 x 17 x 101 x 32,063 = 110,104,342

This can also be written as 21 x 171 x 1011 x 32,0631 = 110,104,342

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


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