Question
Find the prime factorization of number 30321.
Answer
The prime factorization of 30321 is:
$$ 30321 = 3\cdot3\cdot3\cdot1123 $$Which is the same as :
$$ 30321 = 3^{3}\cdot1123 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30321 can be written as 3 × 10107. |
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| 10107 can be written as 3 × 3369. |
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| 3369 can be written as 3 × 1123. |
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| The end nodes are the prime factors of the number 30321. |
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