Question
Find the prime factorization of number 466656.
Answer
The prime factorization of 466656 is:
$$ 466656 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot4861 $$Which is the same as :
$$ 466656 = 2^{5}\cdot3\cdot4861 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 466656 can be written as 2 × 233328. |
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| 233328 can be written as 2 × 116664. |
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| 116664 can be written as 2 × 58332. |
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| 58332 can be written as 2 × 29166. |
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| 29166 can be written as 2 × 14583. |
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| 14583 can be written as 3 × 4861. |
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| The end nodes are the prime factors of the number 466656. |
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