Find the prime factorization of number 205800.
Answer
The prime factorization of 205800 is:
$$ 205800 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 205800 = 2^{3}\cdot3\cdot5^{2}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 205800 can be written as 10 × 20580. |
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| 10 can be written as 2 × 5. |
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| 20580 can be written as 10 × 2058. |
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| 10 can be written as 2 × 5. |
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| 2058 can be written as 2 × 1029. |
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| 1029 can be written as 3 × 343. |
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| 343 can be written as 7 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 205800. |
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