Question
Find the prime factorization of number 30652.
Answer
The prime factorization of 30652 is:
$$ 30652 = 2\cdot2\cdot79\cdot97 $$Which is the same as :
$$ 30652 = 2^{2}\cdot79\cdot97 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30652 can be written as 2 × 15326. |
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| 15326 can be written as 2 × 7663. |
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| 7663 can be written as 79 × 97. |
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| The end nodes are the prime factors of the number 30652. |
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