Question
Find the prime factorization of number 233496.
Answer
The prime factorization of 233496 is:
$$ 233496 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot23\cdot47 $$Which is the same as :
$$ 233496 = 2^{3}\cdot3^{3}\cdot23\cdot47 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 233496 can be written as 2 × 116748. |
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| 116748 can be written as 2 × 58374. |
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| 58374 can be written as 2 × 29187. |
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| 29187 can be written as 3 × 9729. |
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| 9729 can be written as 3 × 3243. |
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| 3243 can be written as 3 × 1081. |
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| 1081 can be written as 23 × 47. |
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| The end nodes are the prime factors of the number 233496. |
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