Question
Find the prime factorization of number 105120.
Answer
The prime factorization of 105120 is:
$$ 105120 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot73 $$Which is the same as :
$$ 105120 = 2^{5}\cdot3^{2}\cdot5\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 105120 can be written as 10 × 10512. |
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| 10 can be written as 2 × 5. |
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| 10512 can be written as 2 × 5256. |
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| 5256 can be written as 2 × 2628. |
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| 2628 can be written as 2 × 1314. |
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| 1314 can be written as 2 × 657. |
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| 657 can be written as 3 × 219. |
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| 219 can be written as 3 × 73. |
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| The end nodes are the prime factors of the number 105120. |
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