Question
Find the prime factorization of number 272250.
Answer
The prime factorization of 272250 is:
$$ 272250 = 2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot11\cdot11 $$Which is the same as :
$$ 272250 = 2\cdot3^{2}\cdot5^{3}\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 272250 can be written as 10 × 27225. |
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| 10 can be written as 2 × 5. |
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| 27225 can be written as 5 × 5445. |
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| 5445 can be written as 5 × 1089. |
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| 1089 can be written as 3 × 363. |
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| 363 can be written as 3 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 272250. |
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