Find the prime factorization of number 1296.

Answer

The prime factorization of 1296 is:
$1296 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$
Which is the same as :
$1296 = 2^{4} \cdot 3^{4}$

Explanation

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

1296 can be written as 2 × 648.	1296 2 648
648 can be written as 2 × 324.	1296 2 648 324 2
324 can be written as 2 × 162.	1296 2 648 324 2 162 2
162 can be written as 2 × 81.	1296 2 648 324 2 162 81 2 2
81 can be written as 3 × 27.	1296 2 648 324 2 162 81 3 27 2 2
27 can be written as 3 × 9.	1296 2 648 324 2 162 81 3 27 9 3 2 2
9 can be written as 3 × 3.	1296 2 648 324 2 162 81 3 27 9 3 3 3 2 2
The end nodes are the prime factors of the number 1296.	1296 2 648 324 2 162 81 3 27 9 3 3 3 2 2

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Find the prime factorization of number 1296.

The prime factorization of 1296 is:1296=2⋅2⋅2⋅2⋅3⋅3⋅3⋅3 Which is the same as :1296=24⋅34

The prime factorization of 1296 is:
$1296 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$
Which is the same as :
$1296 = 2^{4} \cdot 3^{4}$