Find the prime factorization of number 68343750.

Answer

The prime factorization of 68343750 is:

$$ 68343750 = 2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 68343750 = 2\cdot3^{7}\cdot5^{6} $$

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

68343750 can be written as 10 × 6834375.	68343750 10 6834375
10 can be written as 2 × 5.	68343750 10 5 2 6834375
6834375 can be written as 5 × 1366875.	68343750 10 5 2 6834375 5 1366875
1366875 can be written as 5 × 273375.	68343750 10 5 2 6834375 5 1366875 273375 5
273375 can be written as 5 × 54675.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 5
54675 can be written as 5 × 10935.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 5
10935 can be written as 5 × 2187.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 2187 5 5
2187 can be written as 3 × 729.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 2187 729 3 5 5
729 can be written as 3 × 243.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 2187 729 3 243 3 5 5
243 can be written as 3 × 81.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 2187 729 3 243 81 3 3 5 5
81 can be written as 3 × 27.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 2187 729 3 243 81 3 27 3 3 5 5
27 can be written as 3 × 9.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 2187 729 3 243 81 3 27 9 3 3 3 5 5
9 can be written as 3 × 3.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 2187 729 3 243 81 3 27 9 3 3 3 3 3 5 5
The end nodes are the prime factors of the number 68343750.	68343750 10 5 2 6834375 5 1366875 273375 5 54675 10935 5 2187 729 3 243 81 3 27 9 3 3 3 3 3 5 5

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