Find the prime factorization of number 53361.

Answer

The prime factorization of 53361 is:
$53361 = 3 \cdot 3 \cdot 7 \cdot 7 \cdot 11 \cdot 11$
Which is the same as :
$53361 = 3^{2} \cdot 7^{2} \cdot 1 1^{2}$

Explanation

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

53361 can be written as 3 × 17787.	53361 3 17787
17787 can be written as 3 × 5929.	53361 3 17787 5929 3
5929 can be written as 7 × 847.	53361 3 17787 5929 7 847 3
847 can be written as 7 × 121.	53361 3 17787 5929 7 847 121 7 3
121 can be written as 11 × 11.	53361 3 17787 5929 7 847 121 11 11 7 3
The end nodes are the prime factors of the number 53361.	53361 3 17787 5929 7 847 121 11 11 7 3

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Find the prime factorization of number 53361.

The prime factorization of 53361 is:53361=3⋅3⋅7⋅7⋅11⋅11 Which is the same as :53361=32⋅72⋅112

The prime factorization of 53361 is:
$53361 = 3 \cdot 3 \cdot 7 \cdot 7 \cdot 11 \cdot 11$
Which is the same as :
$53361 = 3^{2} \cdot 7^{2} \cdot 1 1^{2}$