Question
Find the prime factorization of number 6773760.
Answer
The prime factorization of 6773760 is:
$$ 6773760 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 6773760 = 2^{10}\cdot3^{3}\cdot5\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6773760 can be written as 10 × 677376. |
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| 10 can be written as 2 × 5. |
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| 677376 can be written as 2 × 338688. |
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| 338688 can be written as 2 × 169344. |
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| 169344 can be written as 2 × 84672. |
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| 84672 can be written as 2 × 42336. |
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| 42336 can be written as 2 × 21168. |
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| 21168 can be written as 2 × 10584. |
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| 10584 can be written as 2 × 5292. |
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| 5292 can be written as 2 × 2646. |
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| 2646 can be written as 2 × 1323. |
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| 1323 can be written as 3 × 441. |
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| 441 can be written as 3 × 147. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 6773760. |
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