Find the prime factorization of number 600000.

Answer

The prime factorization of 600000 is:

$$ 600000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 600000 = 2^{6}\cdot3\cdot5^{5} $$

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

600000 can be written as 10 × 60000.	600000 10 60000
10 can be written as 2 × 5.	600000 10 5 2 60000
60000 can be written as 10 × 6000.	600000 10 5 2 60000 10 6000
10 can be written as 2 × 5.	600000 10 5 2 60000 10 5 2 6000
6000 can be written as 10 × 600.	600000 10 5 2 60000 10 5 2 6000 10 600
10 can be written as 2 × 5.	600000 10 5 2 60000 10 5 2 6000 10 5 2 600
600 can be written as 10 × 60.	600000 10 5 2 60000 10 5 2 6000 10 5 2 600 10 60
10 can be written as 2 × 5.	600000 10 5 2 60000 10 5 2 6000 10 5 2 600 10 5 2 60
60 can be written as 10 × 6.	600000 10 5 2 60000 10 5 2 6000 10 5 2 600 10 5 2 60 10 6
10 can be written as 2 × 5.	600000 10 5 2 60000 10 5 2 6000 10 5 2 600 10 5 2 60 10 5 2 6
6 can be written as 2 × 3.	600000 10 5 2 60000 10 5 2 6000 10 5 2 600 10 5 2 60 10 5 2 6 2 3
The end nodes are the prime factors of the number 600000.	600000 10 5 2 60000 10 5 2 6000 10 5 2 600 10 5 2 60 10 5 2 6 2 3

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