Question
Find the prime factorization of number 29920.
Answer
The prime factorization of 29920 is:
$$ 29920 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot11\cdot17 $$Which is the same as :
$$ 29920 = 2^{5}\cdot5\cdot11\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 29920 can be written as 10 × 2992. |
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| 10 can be written as 2 × 5. |
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| 2992 can be written as 2 × 1496. |
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| 1496 can be written as 2 × 748. |
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| 748 can be written as 2 × 374. |
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| 374 can be written as 2 × 187. |
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| 187 can be written as 11 × 17. |
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| The end nodes are the prime factors of the number 29920. |
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