Find the prime factorization of number 15984.
Answer
The prime factorization of 15984 is:
$$ 15984 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot37 $$Which is the same as :
$$ 15984 = 2^{4}\cdot3^{3}\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 15984 can be written as 2 × 7992. |
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| 7992 can be written as 2 × 3996. |
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| 3996 can be written as 2 × 1998. |
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| 1998 can be written as 2 × 999. |
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| 999 can be written as 3 × 333. |
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| 333 can be written as 3 × 111. |
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| 111 can be written as 3 × 37. |
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| The end nodes are the prime factors of the number 15984. |
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