Question
Find the prime factorization of number 30312.
Answer
The prime factorization of 30312 is:
$$ 30312 = 2\cdot2\cdot2\cdot3\cdot3\cdot421 $$Which is the same as :
$$ 30312 = 2^{3}\cdot3^{2}\cdot421 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30312 can be written as 2 × 15156. |
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| 15156 can be written as 2 × 7578. |
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| 7578 can be written as 2 × 3789. |
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| 3789 can be written as 3 × 1263. |
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| 1263 can be written as 3 × 421. |
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| The end nodes are the prime factors of the number 30312. |
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