Find the prime factorization of number 8448.

Answer

The prime factorization of 8448 is:

$$ 8448 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot11 $$

Which is the same as :

$$ 8448 = 2^{8}\cdot3\cdot11 $$

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

8448 can be written as 2 × 4224.	8448 2 4224
4224 can be written as 2 × 2112.	8448 2 4224 2112 2
2112 can be written as 2 × 1056.	8448 2 4224 2112 2 1056 2
1056 can be written as 2 × 528.	8448 2 4224 2112 2 1056 528 2 2
528 can be written as 2 × 264.	8448 2 4224 2112 2 1056 528 2 264 2 2
264 can be written as 2 × 132.	8448 2 4224 2112 2 1056 528 2 264 132 2 2 2
132 can be written as 2 × 66.	8448 2 4224 2112 2 1056 528 2 264 132 2 66 2 2 2
66 can be written as 2 × 33.	8448 2 4224 2112 2 1056 528 2 264 132 2 66 33 2 2 2 2
33 can be written as 3 × 11.	8448 2 4224 2112 2 1056 528 2 264 132 2 66 33 3 11 2 2 2 2
The end nodes are the prime factors of the number 8448.	8448 2 4224 2112 2 1056 528 2 264 132 2 66 33 3 11 2 2 2 2

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