Question
Find the prime factorization of number 8152375.
Answer
The prime factorization of 8152375 is:
$$ 8152375 = 5\cdot5\cdot5\cdot7\cdot7\cdot11\cdot11\cdot11 $$Which is the same as :
$$ 8152375 = 5^{3}\cdot7^{2}\cdot11^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8152375 can be written as 5 × 1630475. |
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| 1630475 can be written as 5 × 326095. |
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| 326095 can be written as 5 × 65219. |
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| 65219 can be written as 7 × 9317. |
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| 9317 can be written as 7 × 1331. |
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| 1331 can be written as 11 × 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 8152375. |
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