Question
Find the prime factorization of number 52920.
Answer
The prime factorization of 52920 is:
$$ 52920 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 52920 = 2^{3}\cdot3^{3}\cdot5\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 52920 can be written as 10 × 5292. |
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| 10 can be written as 2 × 5. |
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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 52920. |
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