Question
Find the prime factorization of number 1800.
Answer
The prime factorization of 1800 is:
$$ 1800 = 2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5 $$Which is the same as :
$$ 1800 = 2^{3}\cdot3^{2}\cdot5^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1800 can be written as 10 × 180. |
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| 10 can be written as 2 × 5. |
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| 180 can be written as 10 × 18. |
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| 10 can be written as 2 × 5. |
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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 1800. |
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