Question
Find the prime factorization of number 30589.
Answer
The prime factorization of 30589 is:
$$ 30589 = 13\cdot13\cdot181 $$Which is the same as :
$$ 30589 = 13^{2}\cdot181 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30589 can be written as 13 × 2353. |
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| 2353 can be written as 13 × 181. |
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| The end nodes are the prime factors of the number 30589. |
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