Question
Find the prime factorization of number 30396.
Answer
The prime factorization of 30396 is:
$$ 30396 = 2\cdot2\cdot3\cdot17\cdot149 $$Which is the same as :
$$ 30396 = 2^{2}\cdot3\cdot17\cdot149 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30396 can be written as 2 × 15198. |
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| 15198 can be written as 2 × 7599. |
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| 7599 can be written as 3 × 2533. |
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| 2533 can be written as 17 × 149. |
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| The end nodes are the prime factors of the number 30396. |
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