Question
Find the prime factorization of number 30540.
Answer
The prime factorization of 30540 is:
$$ 30540 = 2\cdot2\cdot3\cdot5\cdot509 $$Which is the same as :
$$ 30540 = 2^{2}\cdot3\cdot5\cdot509 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30540 can be written as 10 × 3054. |
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| 10 can be written as 2 × 5. |
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| 3054 can be written as 2 × 1527. |
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| 1527 can be written as 3 × 509. |
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| The end nodes are the prime factors of the number 30540. |
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