Question
Find the prime factorization of number 39840.
Answer
The prime factorization of 39840 is:
$$ 39840 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot83 $$Which is the same as :
$$ 39840 = 2^{5}\cdot3\cdot5\cdot83 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 39840 can be written as 10 × 3984. |
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| 10 can be written as 2 × 5. |
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| 3984 can be written as 2 × 1992. |
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| 1992 can be written as 2 × 996. |
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| 996 can be written as 2 × 498. |
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| 498 can be written as 2 × 249. |
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| 249 can be written as 3 × 83. |
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| The end nodes are the prime factors of the number 39840. |
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