Question
Find the prime factorization of number 30613.
Answer
The prime factorization of 30613 is:
$$ 30613 = 11\cdot11\cdot11\cdot23 $$Which is the same as :
$$ 30613 = 11^{3}\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30613 can be written as 11 × 2783. |
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| 2783 can be written as 11 × 253. |
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| 253 can be written as 11 × 23. |
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| The end nodes are the prime factors of the number 30613. |
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