Find the prime factorization of number 804960.

Answer

The prime factorization of 804960 is:

$$ 804960 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot13\cdot43 $$

Which is the same as :

$$ 804960 = 2^{5}\cdot3^{2}\cdot5\cdot13\cdot43 $$

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

804960 can be written as 10 × 80496.	804960 10 80496
10 can be written as 2 × 5.	804960 10 5 2 80496
80496 can be written as 2 × 40248.	804960 10 5 2 80496 2 40248
40248 can be written as 2 × 20124.	804960 10 5 2 80496 2 40248 20124 2
20124 can be written as 2 × 10062.	804960 10 5 2 80496 2 40248 20124 2 10062 2
10062 can be written as 2 × 5031.	804960 10 5 2 80496 2 40248 20124 2 10062 5031 2 2
5031 can be written as 3 × 1677.	804960 10 5 2 80496 2 40248 20124 2 10062 5031 3 1677 2 2
1677 can be written as 3 × 559.	804960 10 5 2 80496 2 40248 20124 2 10062 5031 3 1677 559 3 2 2
559 can be written as 13 × 43.	804960 10 5 2 80496 2 40248 20124 2 10062 5031 3 1677 559 13 43 3 2 2
The end nodes are the prime factors of the number 804960.	804960 10 5 2 80496 2 40248 20124 2 10062 5031 3 1677 559 13 43 3 2 2

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