Find the prime factorization of number 80999919.

Answer

The prime factorization of 80999919 is:

$$ 80999919 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot7\cdot11\cdot13\cdot37 $$

Which is the same as :

$$ 80999919 = 3^{7}\cdot7\cdot11\cdot13\cdot37 $$

Prime factorization can be nicely visualized by creating a factorization tree.

80999919 can be written as 3 × 26999973.	80999919 3 26999973
26999973 can be written as 3 × 8999991.	80999919 3 26999973 8999991 3
8999991 can be written as 3 × 2999997.	80999919 3 26999973 8999991 3 2999997 3
2999997 can be written as 3 × 999999.	80999919 3 26999973 8999991 3 2999997 999999 3 3
999999 can be written as 3 × 333333.	80999919 3 26999973 8999991 3 2999997 999999 3 333333 3 3
333333 can be written as 3 × 111111.	80999919 3 26999973 8999991 3 2999997 999999 3 333333 111111 3 3 3
111111 can be written as 3 × 37037.	80999919 3 26999973 8999991 3 2999997 999999 3 333333 111111 3 37037 3 3 3
37037 can be written as 7 × 5291.	80999919 3 26999973 8999991 3 2999997 999999 3 333333 111111 3 37037 5291 7 3 3 3
5291 can be written as 11 × 481.	80999919 3 26999973 8999991 3 2999997 999999 3 333333 111111 3 37037 5291 11 481 7 3 3 3
481 can be written as 13 × 37.	80999919 3 26999973 8999991 3 2999997 999999 3 333333 111111 3 37037 5291 11 481 37 13 7 3 3 3
The end nodes are the prime factors of the number 80999919.	80999919 3 26999973 8999991 3 2999997 999999 3 333333 111111 3 37037 5291 11 481 37 13 7 3 3 3

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