Question
Find the prime factorization of number 654729075.
Answer
The prime factorization of 654729075 is:
$$ 654729075 = 3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot7\cdot11\cdot13\cdot17\cdot19 $$Which is the same as :
$$ 654729075 = 3^{4}\cdot5^{2}\cdot7\cdot11\cdot13\cdot17\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 654729075 can be written as 5 × 130945815. |
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| 130945815 can be written as 5 × 26189163. |
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| 26189163 can be written as 3 × 8729721. |
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| 8729721 can be written as 3 × 2909907. |
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| 2909907 can be written as 3 × 969969. |
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| 969969 can be written as 3 × 323323. |
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| 323323 can be written as 7 × 46189. |
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| 46189 can be written as 11 × 4199. |
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| 4199 can be written as 13 × 323. |
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| 323 can be written as 17 × 19. |
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| The end nodes are the prime factors of the number 654729075. |
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