Find the prime factorization of number 9216.

Answer

The prime factorization of 9216 is:

$$ 9216 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3 $$

Which is the same as :

$$ 9216 = 2^{10}\cdot3^{2} $$

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

9216 can be written as 2 × 4608.	9216 2 4608
4608 can be written as 2 × 2304.	9216 2 4608 2304 2
2304 can be written as 2 × 1152.	9216 2 4608 2304 2 1152 2
1152 can be written as 2 × 576.	9216 2 4608 2304 2 1152 576 2 2
576 can be written as 2 × 288.	9216 2 4608 2304 2 1152 576 2 288 2 2
288 can be written as 2 × 144.	9216 2 4608 2304 2 1152 576 2 288 144 2 2 2
144 can be written as 2 × 72.	9216 2 4608 2304 2 1152 576 2 288 144 2 72 2 2 2
72 can be written as 2 × 36.	9216 2 4608 2304 2 1152 576 2 288 144 2 72 36 2 2 2 2
36 can be written as 2 × 18.	9216 2 4608 2304 2 1152 576 2 288 144 2 72 36 2 18 2 2 2 2
18 can be written as 2 × 9.	9216 2 4608 2304 2 1152 576 2 288 144 2 72 36 2 18 9 2 2 2 2 2
9 can be written as 3 × 3.	9216 2 4608 2304 2 1152 576 2 288 144 2 72 36 2 18 9 3 3 2 2 2 2 2
The end nodes are the prime factors of the number 9216.	9216 2 4608 2304 2 1152 576 2 288 144 2 72 36 2 18 9 3 3 2 2 2 2 2

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