Question
Find the prime factorization of number 30644.
Answer
The prime factorization of 30644 is:
$$ 30644 = 2\cdot2\cdot47\cdot163 $$Which is the same as :
$$ 30644 = 2^{2}\cdot47\cdot163 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30644 can be written as 2 × 15322. |
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| 15322 can be written as 2 × 7661. |
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| 7661 can be written as 47 × 163. |
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| The end nodes are the prime factors of the number 30644. |
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