Question
Find the prime factorization of number 30723.
Answer
The prime factorization of 30723 is:
$$ 30723 = 3\cdot7\cdot7\cdot11\cdot19 $$Which is the same as :
$$ 30723 = 3\cdot7^{2}\cdot11\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30723 can be written as 3 × 10241. |
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| 10241 can be written as 7 × 1463. |
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| 1463 can be written as 7 × 209. |
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| 209 can be written as 11 × 19. |
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| The end nodes are the prime factors of the number 30723. |
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