Find the prime factorization of number 73936.

Answer

The prime factorization of 73936 is:
$73936 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 4621$
Which is the same as :
$73936 = 2^{4} \cdot 4621$

Explanation

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

73936 can be written as 2 × 36968.	73936 2 36968
36968 can be written as 2 × 18484.	73936 2 36968 18484 2
18484 can be written as 2 × 9242.	73936 2 36968 18484 2 9242 2
9242 can be written as 2 × 4621.	73936 2 36968 18484 2 9242 4621 2 2
The end nodes are the prime factors of the number 73936.	73936 2 36968 18484 2 9242 4621 2 2

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Find the prime factorization of number 73936.

The prime factorization of 73936 is:73936=2⋅2⋅2⋅2⋅4621 Which is the same as :73936=24⋅4621

The prime factorization of 73936 is:
$73936 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 4621$
Which is the same as :
$73936 = 2^{4} \cdot 4621$