Question
Find the prime factorization of number 7241481.
Answer
The prime factorization of 7241481 is:
$$ 7241481 = 3\cdot3\cdot3\cdot3\cdot13\cdot13\cdot23\cdot23 $$Which is the same as :
$$ 7241481 = 3^{4}\cdot13^{2}\cdot23^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7241481 can be written as 3 × 2413827. |
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| 2413827 can be written as 3 × 804609. |
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| 804609 can be written as 3 × 268203. |
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| 268203 can be written as 3 × 89401. |
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| 89401 can be written as 13 × 6877. |
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| 6877 can be written as 13 × 529. |
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| 529 can be written as 23 × 23. |
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| The end nodes are the prime factors of the number 7241481. |
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