Question
Find the prime factorization of number 259875.
Answer
The prime factorization of 259875 is:
$$ 259875 = 3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot7\cdot11 $$Which is the same as :
$$ 259875 = 3^{3}\cdot5^{3}\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 259875 can be written as 5 × 51975. |
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| 51975 can be written as 5 × 10395. |
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| 10395 can be written as 5 × 2079. |
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| 2079 can be written as 3 × 693. |
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| 693 can be written as 3 × 231. |
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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 259875. |
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