Question
Find the prime factorization of number 127104.
Answer
The prime factorization of 127104 is:
$$ 127104 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot331 $$Which is the same as :
$$ 127104 = 2^{7}\cdot3\cdot331 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 127104 can be written as 2 × 63552. |
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| 63552 can be written as 2 × 31776. |
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| 31776 can be written as 2 × 15888. |
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| 15888 can be written as 2 × 7944. |
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| 7944 can be written as 2 × 3972. |
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| 3972 can be written as 2 × 1986. |
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| 1986 can be written as 2 × 993. |
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| 993 can be written as 3 × 331. |
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| The end nodes are the prime factors of the number 127104. |
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