Question
Find the prime factorization of number 30696.
Answer
The prime factorization of 30696 is:
$$ 30696 = 2\cdot2\cdot2\cdot3\cdot1279 $$Which is the same as :
$$ 30696 = 2^{3}\cdot3\cdot1279 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30696 can be written as 2 × 15348. |
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| 15348 can be written as 2 × 7674. |
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| 7674 can be written as 2 × 3837. |
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| 3837 can be written as 3 × 1279. |
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| The end nodes are the prime factors of the number 30696. |
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