Q: What are the prime factors of the number 110,734,336?

 A: 2, 108139

Why are those the prime factors of the number 110,734,336?

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 110,734,336

110,734,336
Factor Arrows
255,367,168
Factor Arrows
227,683,584
Factor Arrows
213,841,792
Factor Arrows
26,920,896
Factor Arrows
23,460,448
Factor Arrows
21,730,224
Factor Arrows
2865,112
Factor Arrows
2432,556
Factor Arrows
2216,278
Factor Arrows
2108,139

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, 108139

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 2 x 2 x 2 x 2 x 108,139 = 110,734,336

This can also be written as 210 x 108,1391 = 110,734,336

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


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