Find the prime factorization of number 1296000.

Answer

The prime factorization of 1296000 is:

$$ 1296000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 1296000 = 2^{7}\cdot3^{4}\cdot5^{3} $$

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

1296000 can be written as 10 × 129600.	1296000 10 129600
10 can be written as 2 × 5.	1296000 10 5 2 129600
129600 can be written as 10 × 12960.	1296000 10 5 2 129600 10 12960
10 can be written as 2 × 5.	1296000 10 5 2 129600 10 5 2 12960
12960 can be written as 10 × 1296.	1296000 10 5 2 129600 10 5 2 12960 10 1296
10 can be written as 2 × 5.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296
1296 can be written as 2 × 648.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296 2 648
648 can be written as 2 × 324.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296 2 648 324 2
324 can be written as 2 × 162.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296 2 648 324 2 162 2
162 can be written as 2 × 81.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296 2 648 324 2 162 81 2 2
81 can be written as 3 × 27.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296 2 648 324 2 162 81 3 27 2 2
27 can be written as 3 × 9.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296 2 648 324 2 162 81 3 27 9 3 2 2
9 can be written as 3 × 3.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296 2 648 324 2 162 81 3 27 9 3 3 3 2 2
The end nodes are the prime factors of the number 1296000.	1296000 10 5 2 129600 10 5 2 12960 10 5 2 1296 2 648 324 2 162 81 3 27 9 3 3 3 2 2

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