Question
Find the prime factorization of number 4512.
Answer
The prime factorization of 4512 is:
$$ 4512 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot47 $$Which is the same as :
$$ 4512 = 2^{5}\cdot3\cdot47 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4512 can be written as 2 × 2256. |
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| 2256 can be written as 2 × 1128. |
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| 1128 can be written as 2 × 564. |
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| 564 can be written as 2 × 282. |
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| 282 can be written as 2 × 141. |
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| 141 can be written as 3 × 47. |
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| The end nodes are the prime factors of the number 4512. |
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