Find the prime factorization of number 2208.
Answer
The prime factorization of 2208 is:
$$ 2208 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot23 $$Which is the same as :
$$ 2208 = 2^{5}\cdot3\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2208 can be written as 2 × 1104. |
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| 1104 can be written as 2 × 552. |
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| 552 can be written as 2 × 276. |
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| 276 can be written as 2 × 138. |
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| 138 can be written as 2 × 69. |
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| 69 can be written as 3 × 23. |
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| The end nodes are the prime factors of the number 2208. |
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