Question
Find the prime factorization of number 30340.
Answer
The prime factorization of 30340 is:
$$ 30340 = 2\cdot2\cdot5\cdot37\cdot41 $$Which is the same as :
$$ 30340 = 2^{2}\cdot5\cdot37\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30340 can be written as 10 × 3034. |
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| 10 can be written as 2 × 5. |
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| 3034 can be written as 2 × 1517. |
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| 1517 can be written as 37 × 41. |
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| The end nodes are the prime factors of the number 30340. |
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