Question
Find the prime factorization of number 8816.
Answer
The prime factorization of 8816 is:
$$ 8816 = 2\cdot2\cdot2\cdot2\cdot19\cdot29 $$Which is the same as :
$$ 8816 = 2^{4}\cdot19\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8816 can be written as 2 × 4408. |
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| 4408 can be written as 2 × 2204. |
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| 2204 can be written as 2 × 1102. |
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| 1102 can be written as 2 × 551. |
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| 551 can be written as 19 × 29. |
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| The end nodes are the prime factors of the number 8816. |
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