Question
Find the prime factorization of number 33804.
Answer
The prime factorization of 33804 is:
$$ 33804 = 2\cdot2\cdot3\cdot3\cdot3\cdot313 $$Which is the same as :
$$ 33804 = 2^{2}\cdot3^{3}\cdot313 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 33804 can be written as 2 × 16902. |
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| 16902 can be written as 2 × 8451. |
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| 8451 can be written as 3 × 2817. |
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| 2817 can be written as 3 × 939. |
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| 939 can be written as 3 × 313. |
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| The end nodes are the prime factors of the number 33804. |
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