Find the prime factorization of number 6468.

Answer

The prime factorization of 6468 is:
$6468 = 2 \cdot 2 \cdot 3 \cdot 7 \cdot 7 \cdot 11$
Which is the same as :
$6468 = 2^{2} \cdot 3 \cdot 7^{2} \cdot 11$

Explanation

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

6468 can be written as 2 × 3234.	6468 2 3234
3234 can be written as 2 × 1617.	6468 2 3234 1617 2
1617 can be written as 3 × 539.	6468 2 3234 1617 3 539 2
539 can be written as 7 × 77.	6468 2 3234 1617 3 539 77 7 2
77 can be written as 7 × 11.	6468 2 3234 1617 3 539 77 7 11 7 2
The end nodes are the prime factors of the number 6468.	6468 2 3234 1617 3 539 77 7 11 7 2

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Find the prime factorization of number 6468.

The prime factorization of 6468 is:6468=2⋅2⋅3⋅7⋅7⋅11 Which is the same as :6468=22⋅3⋅72⋅11

The prime factorization of 6468 is:
$6468 = 2 \cdot 2 \cdot 3 \cdot 7 \cdot 7 \cdot 11$
Which is the same as :
$6468 = 2^{2} \cdot 3 \cdot 7^{2} \cdot 11$