Find the prime factorization of number 3969.

Answer

The prime factorization of 3969 is:
$3969 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 7 \cdot 7$
Which is the same as :
$3969 = 3^{4} \cdot 7^{2}$

Explanation

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

3969 can be written as 3 × 1323.	3969 3 1323
1323 can be written as 3 × 441.	3969 3 1323 441 3
441 can be written as 3 × 147.	3969 3 1323 441 3 147 3
147 can be written as 3 × 49.	3969 3 1323 441 3 147 49 3 3
49 can be written as 7 × 7.	3969 3 1323 441 3 147 49 7 7 3 3
The end nodes are the prime factors of the number 3969.	3969 3 1323 441 3 147 49 7 7 3 3

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Find the prime factorization of number 3969.

The prime factorization of 3969 is:3969=3⋅3⋅3⋅3⋅7⋅7 Which is the same as :3969=34⋅72

The prime factorization of 3969 is:
$3969 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 7 \cdot 7$
Which is the same as :
$3969 = 3^{4} \cdot 7^{2}$