Find the prime factorization of number 50000.

Answer

The prime factorization of 50000 is:
$50000 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5$
Which is the same as :
$50000 = 2^{4} \cdot 5^{5}$

Explanation

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

50000 can be written as 10 × 5000.	50000 10 5000
10 can be written as 2 × 5.	50000 10 5 2 5000
5000 can be written as 10 × 500.	50000 10 5 2 5000 10 500
10 can be written as 2 × 5.	50000 10 5 2 5000 10 5 2 500
500 can be written as 10 × 50.	50000 10 5 2 5000 10 5 2 500 10 50
10 can be written as 2 × 5.	50000 10 5 2 5000 10 5 2 500 10 5 2 50
50 can be written as 10 × 5.	50000 10 5 2 5000 10 5 2 500 10 5 2 50 10 5
10 can be written as 2 × 5.	50000 10 5 2 5000 10 5 2 500 10 5 2 50 10 5 2 5
The end nodes are the prime factors of the number 50000.	50000 10 5 2 5000 10 5 2 500 10 5 2 50 10 5 2 5

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Find the prime factorization of number 50000.

The prime factorization of 50000 is:50000=2⋅2⋅2⋅2⋅5⋅5⋅5⋅5⋅5 Which is the same as :50000=24⋅55

The prime factorization of 50000 is:
$50000 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5$
Which is the same as :
$50000 = 2^{4} \cdot 5^{5}$