Question
Find the prime factorization of number 20400.
Answer
The prime factorization of 20400 is:
$$ 20400 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot17 $$Which is the same as :
$$ 20400 = 2^{4}\cdot3\cdot5^{2}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 20400 can be written as 10 × 2040. |
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| 10 can be written as 2 × 5. |
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| 2040 can be written as 10 × 204. |
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| 10 can be written as 2 × 5. |
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| 204 can be written as 2 × 102. |
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| 102 can be written as 2 × 51. |
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| 51 can be written as 3 × 17. |
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| The end nodes are the prime factors of the number 20400. |
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