Question
Find the prime factorization of number 30664.
Answer
The prime factorization of 30664 is:
$$ 30664 = 2\cdot2\cdot2\cdot3833 $$Which is the same as :
$$ 30664 = 2^{3}\cdot3833 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30664 can be written as 2 × 15332. |
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| 15332 can be written as 2 × 7666. |
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| 7666 can be written as 2 × 3833. |
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| The end nodes are the prime factors of the number 30664. |
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