Q: What are the prime factors of the number 82,038,086?

 A: 2, 13, 19, 71, 2339

Why are those the prime factors of the number 82,038,086?

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 82,038,086

82,038,086
Factor Arrows
241,019,043
Factor Arrows
133,155,311
Factor Arrows
19166,069
Factor Arrows
712,339

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, 13, 19, 71, 2339

We can check our work by multiplying all of the prime factors together: 2 x 13 x 19 x 71 x 2,339 = 82,038,086

This can also be written as 21 x 131 x 191 x 711 x 2,3391 = 82,038,086

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


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