Q: What are the prime factors of the number 80,918,383?

 A: 7, 13, 73, 937

Why are those the prime factors of the number 80,918,383?

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 80,918,383

80,918,383
Factor Arrows
711,559,769
Factor Arrows
13889,213
Factor Arrows
1368,401
Factor Arrows
73937

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:

7, 13, 73, 937

We can check our work by multiplying all of the prime factors together: 7 x 13 x 13 x 73 x 937 = 80,918,383

This can also be written as 71 x 132 x 731 x 9371 = 80,918,383

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


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