Question
Find the prime factorization of number 12972960.
Answer
The prime factorization of 12972960 is:
$$ 12972960 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot5\cdot7\cdot11\cdot13 $$Which is the same as :
$$ 12972960 = 2^{5}\cdot3^{4}\cdot5\cdot7\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 12972960 can be written as 10 × 1297296. |
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| 10 can be written as 2 × 5. |
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| 1297296 can be written as 2 × 648648. |
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| 648648 can be written as 2 × 324324. |
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| 324324 can be written as 2 × 162162. |
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| 162162 can be written as 2 × 81081. |
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| 81081 can be written as 3 × 27027. |
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| 27027 can be written as 3 × 9009. |
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| 9009 can be written as 3 × 3003. |
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| 3003 can be written as 3 × 1001. |
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| 1001 can be written as 7 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 12972960. |
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