Find the prime factorization of number 14400.
Answer
The prime factorization of 14400 is:
$$ 14400 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5 $$Which is the same as :
$$ 14400 = 2^{6}\cdot3^{2}\cdot5^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 14400 can be written as 10 × 1440. |
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| 10 can be written as 2 × 5. |
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| 1440 can be written as 10 × 144. |
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| 10 can be written as 2 × 5. |
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| 144 can be written as 2 × 72. |
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| 72 can be written as 2 × 36. |
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| 36 can be written as 2 × 18. |
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| 18 can be written as 2 × 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 14400. |
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