Find the prime factorization of number 30288.
Answer
The prime factorization of 30288 is:
$$ 30288 = 2\cdot2\cdot2\cdot2\cdot3\cdot631 $$Which is the same as :
$$ 30288 = 2^{4}\cdot3\cdot631 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30288 can be written as 2 × 15144. |
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| 15144 can be written as 2 × 7572. |
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| 7572 can be written as 2 × 3786. |
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| 3786 can be written as 2 × 1893. |
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| 1893 can be written as 3 × 631. |
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| The end nodes are the prime factors of the number 30288. |
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