Question
Find the prime factorization of number 30084.
Answer
The prime factorization of 30084 is:
$$ 30084 = 2\cdot2\cdot3\cdot23\cdot109 $$Which is the same as :
$$ 30084 = 2^{2}\cdot3\cdot23\cdot109 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30084 can be written as 2 × 15042. |
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| 15042 can be written as 2 × 7521. |
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| 7521 can be written as 3 × 2507. |
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| 2507 can be written as 23 × 109. |
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| The end nodes are the prime factors of the number 30084. |
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