Question
Find the prime factorization of number 30628.
Answer
The prime factorization of 30628 is:
$$ 30628 = 2\cdot2\cdot13\cdot19\cdot31 $$Which is the same as :
$$ 30628 = 2^{2}\cdot13\cdot19\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30628 can be written as 2 × 15314. |
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| 15314 can be written as 2 × 7657. |
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| 7657 can be written as 13 × 589. |
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| 589 can be written as 19 × 31. |
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| The end nodes are the prime factors of the number 30628. |
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