Find the prime factorization of number 65336.

Answer

The prime factorization of 65336 is:
$65336 = 2 \cdot 2 \cdot 2 \cdot 8167$
Which is the same as :
$65336 = 2^{3} \cdot 8167$

Explanation

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

65336 can be written as 2 × 32668.	65336 2 32668
32668 can be written as 2 × 16334.	65336 2 32668 16334 2
16334 can be written as 2 × 8167.	65336 2 32668 16334 2 8167 2
The end nodes are the prime factors of the number 65336.	65336 2 32668 16334 2 8167 2

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Find the prime factorization of number 65336.

The prime factorization of 65336 is:65336=2⋅2⋅2⋅8167 Which is the same as :65336=23⋅8167

The prime factorization of 65336 is:
$65336 = 2 \cdot 2 \cdot 2 \cdot 8167$
Which is the same as :
$65336 = 2^{3} \cdot 8167$