Find the prime factorization of number 30345.
Answer
The prime factorization of 30345 is:
$$ 30345 = 3\cdot5\cdot7\cdot17\cdot17 $$Which is the same as :
$$ 30345 = 3\cdot5\cdot7\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30345 can be written as 5 × 6069. |
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| 6069 can be written as 3 × 2023. |
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| 2023 can be written as 7 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 30345. |
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