Q: What are the prime factors of the number 81,887,826?

 A: 2, 3, 727, 18773

Why are those the prime factors of the number 81,887,826?

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 81,887,826

81,887,826
Factor Arrows
240,943,913
Factor Arrows
313,647,971
Factor Arrows
72718,773

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, 727, 18773

We can check our work by multiplying all of the prime factors together: 2 x 3 x 727 x 18,773 = 81,887,826

This can also be written as 21 x 31 x 7271 x 18,7731 = 81,887,826

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


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