Find the prime factorization of number 1340719926.

Answer

The prime factorization of 1340719926 is:

$$ 1340719926 = 2\cdot3\cdot7\cdot13\cdot13\cdot17\cdot41\cdot271 $$

Which is the same as :

$$ 1340719926 = 2\cdot3\cdot7\cdot13^{2}\cdot17\cdot41\cdot271 $$

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

1340719926 can be written as 2 × 670359963.	1340719926 2 670359963
670359963 can be written as 3 × 223453321.	1340719926 2 670359963 223453321 3
223453321 can be written as 7 × 31921903.	1340719926 2 670359963 223453321 7 31921903 3
31921903 can be written as 13 × 2455531.	1340719926 2 670359963 223453321 7 31921903 2455531 13 3
2455531 can be written as 13 × 188887.	1340719926 2 670359963 223453321 7 31921903 2455531 13 188887 13 3
188887 can be written as 17 × 11111.	1340719926 2 670359963 223453321 7 31921903 2455531 13 188887 11111 17 13 3
11111 can be written as 41 × 271.	1340719926 2 670359963 223453321 7 31921903 2455531 13 188887 11111 41 271 17 13 3
The end nodes are the prime factors of the number 1340719926.	1340719926 2 670359963 223453321 7 31921903 2455531 13 188887 11111 41 271 17 13 3

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