Question
Find the prime factorization of number 30573.
Answer
The prime factorization of 30573 is:
$$ 30573 = 3\cdot3\cdot43\cdot79 $$Which is the same as :
$$ 30573 = 3^{2}\cdot43\cdot79 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30573 can be written as 3 × 10191. |
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| 10191 can be written as 3 × 3397. |
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| 3397 can be written as 43 × 79. |
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| The end nodes are the prime factors of the number 30573. |
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