Find the prime factorization of number 12075.
Answer
The prime factorization of 12075 is:
$$ 12075 = 3\cdot5\cdot5\cdot7\cdot23 $$Which is the same as :
$$ 12075 = 3\cdot5^{2}\cdot7\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 12075 can be written as 5 × 2415. |
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| 2415 can be written as 5 × 483. |
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| 483 can be written as 3 × 161. |
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| 161 can be written as 7 × 23. |
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| The end nodes are the prime factors of the number 12075. |
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