Find the prime factorization of number 2592000.

Answer

The prime factorization of 2592000 is:

$$ 2592000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 2592000 = 2^{8}\cdot3^{4}\cdot5^{3} $$

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

2592000 can be written as 10 × 259200.	2592000 10 259200
10 can be written as 2 × 5.	2592000 10 5 2 259200
259200 can be written as 10 × 25920.	2592000 10 5 2 259200 10 25920
10 can be written as 2 × 5.	2592000 10 5 2 259200 10 5 2 25920
25920 can be written as 10 × 2592.	2592000 10 5 2 259200 10 5 2 25920 10 2592
10 can be written as 2 × 5.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592
2592 can be written as 2 × 1296.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296
1296 can be written as 2 × 648.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296 648 2
648 can be written as 2 × 324.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296 648 2 324 2
324 can be written as 2 × 162.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296 648 2 324 162 2 2
162 can be written as 2 × 81.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296 648 2 324 162 2 81 2 2
81 can be written as 3 × 27.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296 648 2 324 162 2 81 27 3 2 2
27 can be written as 3 × 9.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296 648 2 324 162 2 81 27 3 9 3 2 2
9 can be written as 3 × 3.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296 648 2 324 162 2 81 27 3 9 3 3 3 2 2
The end nodes are the prime factors of the number 2592000.	2592000 10 5 2 259200 10 5 2 25920 10 5 2 2592 2 1296 648 2 324 162 2 81 27 3 9 3 3 3 2 2

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