Question
Find the prime factorization of number 231000.
Answer
The prime factorization of 231000 is:
$$ 231000 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot7\cdot11 $$Which is the same as :
$$ 231000 = 2^{3}\cdot3\cdot5^{3}\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 231000 can be written as 10 × 23100. |
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| 10 can be written as 2 × 5. |
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| 23100 can be written as 10 × 2310. |
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| 10 can be written as 2 × 5. |
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| 2310 can be written as 10 × 231. |
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| 10 can be written as 2 × 5. |
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| 231 can be written as 3 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 231000. |
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