Question
Find the prime factorization of number 49164.
Answer
The prime factorization of 49164 is:
$$ 49164 = 2\cdot2\cdot3\cdot17\cdot241 $$Which is the same as :
$$ 49164 = 2^{2}\cdot3\cdot17\cdot241 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 49164 can be written as 2 × 24582. |
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| 24582 can be written as 2 × 12291. |
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| 12291 can be written as 3 × 4097. |
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| 4097 can be written as 17 × 241. |
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| The end nodes are the prime factors of the number 49164. |
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