Find the prime factorization of number 540000.

Answer

The prime factorization of 540000 is:

$$ 540000 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 540000 = 2^{5}\cdot3^{3}\cdot5^{4} $$

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

540000 can be written as 10 × 54000.	540000 10 54000
10 can be written as 2 × 5.	540000 10 5 2 54000
54000 can be written as 10 × 5400.	540000 10 5 2 54000 10 5400
10 can be written as 2 × 5.	540000 10 5 2 54000 10 5 2 5400
5400 can be written as 10 × 540.	540000 10 5 2 54000 10 5 2 5400 10 540
10 can be written as 2 × 5.	540000 10 5 2 54000 10 5 2 5400 10 5 2 540
540 can be written as 10 × 54.	540000 10 5 2 54000 10 5 2 5400 10 5 2 540 10 54
10 can be written as 2 × 5.	540000 10 5 2 54000 10 5 2 5400 10 5 2 540 10 5 2 54
54 can be written as 2 × 27.	540000 10 5 2 54000 10 5 2 5400 10 5 2 540 10 5 2 54 2 27
27 can be written as 3 × 9.	540000 10 5 2 54000 10 5 2 5400 10 5 2 540 10 5 2 54 2 27 9 3
9 can be written as 3 × 3.	540000 10 5 2 54000 10 5 2 5400 10 5 2 540 10 5 2 54 2 27 9 3 3 3
The end nodes are the prime factors of the number 540000.	540000 10 5 2 54000 10 5 2 5400 10 5 2 540 10 5 2 54 2 27 9 3 3 3

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