Question
Find the prime factorization of number 30330.
Answer
The prime factorization of 30330 is:
$$ 30330 = 2\cdot3\cdot3\cdot5\cdot337 $$Which is the same as :
$$ 30330 = 2\cdot3^{2}\cdot5\cdot337 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30330 can be written as 10 × 3033. |
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| 10 can be written as 2 × 5. |
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| 3033 can be written as 3 × 1011. |
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| 1011 can be written as 3 × 337. |
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| The end nodes are the prime factors of the number 30330. |
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