Find the prime factorization of number 1160718174.

Answer

The prime factorization of 1160718174 is:

$$ 1160718174 = 2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot7\cdot7\cdot7\cdot11\cdot211 $$

Which is the same as :

$$ 1160718174 = 2\cdot3^{6}\cdot7^{3}\cdot11\cdot211 $$

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

1160718174 can be written as 2 × 580359087.	1160718174 2 580359087
580359087 can be written as 3 × 193453029.	1160718174 2 580359087 193453029 3
193453029 can be written as 3 × 64484343.	1160718174 2 580359087 193453029 3 64484343 3
64484343 can be written as 3 × 21494781.	1160718174 2 580359087 193453029 3 64484343 21494781 3 3
21494781 can be written as 3 × 7164927.	1160718174 2 580359087 193453029 3 64484343 21494781 3 7164927 3 3
7164927 can be written as 3 × 2388309.	1160718174 2 580359087 193453029 3 64484343 21494781 3 7164927 2388309 3 3 3
2388309 can be written as 3 × 796103.	1160718174 2 580359087 193453029 3 64484343 21494781 3 7164927 2388309 3 796103 3 3 3
796103 can be written as 7 × 113729.	1160718174 2 580359087 193453029 3 64484343 21494781 3 7164927 2388309 3 796103 113729 7 3 3 3
113729 can be written as 7 × 16247.	1160718174 2 580359087 193453029 3 64484343 21494781 3 7164927 2388309 3 796103 113729 7 16247 7 3 3 3
16247 can be written as 7 × 2321.	1160718174 2 580359087 193453029 3 64484343 21494781 3 7164927 2388309 3 796103 113729 7 16247 2321 7 7 3 3 3
2321 can be written as 11 × 211.	1160718174 2 580359087 193453029 3 64484343 21494781 3 7164927 2388309 3 796103 113729 7 16247 2321 11 211 7 7 3 3 3
The end nodes are the prime factors of the number 1160718174.	1160718174 2 580359087 193453029 3 64484343 21494781 3 7164927 2388309 3 796103 113729 7 16247 2321 11 211 7 7 3 3 3

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