Question
Find the prime factorization of number 16380.
Answer
The prime factorization of 16380 is:
$$ 16380 = 2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot13 $$Which is the same as :
$$ 16380 = 2^{2}\cdot3^{2}\cdot5\cdot7\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 16380 can be written as 10 × 1638. |
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| 10 can be written as 2 × 5. |
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| 1638 can be written as 2 × 819. |
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| 819 can be written as 3 × 273. |
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| 273 can be written as 3 × 91. |
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| 91 can be written as 7 × 13. |
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| The end nodes are the prime factors of the number 16380. |
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