Question
Find the prime factorization of number 214416.
Answer
The prime factorization of 214416 is:
$$ 214416 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot1489 $$Which is the same as :
$$ 214416 = 2^{4}\cdot3^{2}\cdot1489 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 214416 can be written as 2 × 107208. |
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| 107208 can be written as 2 × 53604. |
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| 53604 can be written as 2 × 26802. |
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| 26802 can be written as 2 × 13401. |
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| 13401 can be written as 3 × 4467. |
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| 4467 can be written as 3 × 1489. |
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| The end nodes are the prime factors of the number 214416. |
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