Q: What are the prime factors of the number 112,023,104?

 A: 2, 1750361

Why are those the prime factors of the number 112,023,104?

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 112,023,104

112,023,104
Factor Arrows
256,011,552
Factor Arrows
228,005,776
Factor Arrows
214,002,888
Factor Arrows
27,001,444
Factor Arrows
23,500,722
Factor Arrows
21,750,361

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, 1750361

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 1,750,361 = 112,023,104

This can also be written as 26 x 1,750,3611 = 112,023,104

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


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