Q: What are the prime factors of the number 104,313,056?

 A: 2, 3259783

Why are those the prime factors of the number 104,313,056?

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 104,313,056

104,313,056
Factor Arrows
252,156,528
Factor Arrows
226,078,264
Factor Arrows
213,039,132
Factor Arrows
26,519,566
Factor Arrows
23,259,783

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, 3259783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3,259,783 = 104,313,056

This can also be written as 25 x 3,259,7831 = 104,313,056

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


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