Q: What are the prime factors of the number 80,759,094?

 A: 2, 3, 13, 41, 25253

Why are those the prime factors of the number 80,759,094?

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 80,759,094

80,759,094
Factor Arrows
240,379,547
Factor Arrows
313,459,849
Factor Arrows
131,035,373
Factor Arrows
4125,253

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, 3, 13, 41, 25253

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 41 x 25,253 = 80,759,094

This can also be written as 21 x 31 x 131 x 411 x 25,2531 = 80,759,094

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


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