Question
Find the prime factorization of number 30804.
Answer
The prime factorization of 30804 is:
$$ 30804 = 2\cdot2\cdot3\cdot17\cdot151 $$Which is the same as :
$$ 30804 = 2^{2}\cdot3\cdot17\cdot151 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30804 can be written as 2 × 15402. |
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| 15402 can be written as 2 × 7701. |
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| 7701 can be written as 3 × 2567. |
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| 2567 can be written as 17 × 151. |
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| The end nodes are the prime factors of the number 30804. |
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