Find the prime factorization of number 840000.

Answer

The prime factorization of 840000 is:

$$ 840000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot7 $$

Which is the same as :

$$ 840000 = 2^{6}\cdot3\cdot5^{4}\cdot7 $$

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

840000 can be written as 10 × 84000.	840000 10 84000
10 can be written as 2 × 5.	840000 10 5 2 84000
84000 can be written as 10 × 8400.	840000 10 5 2 84000 10 8400
10 can be written as 2 × 5.	840000 10 5 2 84000 10 5 2 8400
8400 can be written as 10 × 840.	840000 10 5 2 84000 10 5 2 8400 10 840
10 can be written as 2 × 5.	840000 10 5 2 84000 10 5 2 8400 10 5 2 840
840 can be written as 10 × 84.	840000 10 5 2 84000 10 5 2 8400 10 5 2 840 10 84
10 can be written as 2 × 5.	840000 10 5 2 84000 10 5 2 8400 10 5 2 840 10 5 2 84
84 can be written as 2 × 42.	840000 10 5 2 84000 10 5 2 8400 10 5 2 840 10 5 2 84 2 42
42 can be written as 2 × 21.	840000 10 5 2 84000 10 5 2 8400 10 5 2 840 10 5 2 84 2 42 21 2
21 can be written as 3 × 7.	840000 10 5 2 84000 10 5 2 8400 10 5 2 840 10 5 2 84 2 42 21 3 7 2
The end nodes are the prime factors of the number 840000.	840000 10 5 2 84000 10 5 2 8400 10 5 2 840 10 5 2 84 2 42 21 3 7 2

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