Question
Find the prime factorization of number 12150.
Answer
The prime factorization of 12150 is:
$$ 12150 = 2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5 $$Which is the same as :
$$ 12150 = 2\cdot3^{5}\cdot5^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 12150 can be written as 10 × 1215. |
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| 10 can be written as 2 × 5. |
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| 1215 can be written as 5 × 243. |
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| 243 can be written as 3 × 81. |
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| 81 can be written as 3 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 12150. |
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