Question
Find the prime factorization of number 30660.
Answer
The prime factorization of 30660 is:
$$ 30660 = 2\cdot2\cdot3\cdot5\cdot7\cdot73 $$Which is the same as :
$$ 30660 = 2^{2}\cdot3\cdot5\cdot7\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30660 can be written as 10 × 3066. |
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| 10 can be written as 2 × 5. |
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| 3066 can be written as 2 × 1533. |
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| 1533 can be written as 3 × 511. |
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| 511 can be written as 7 × 73. |
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| The end nodes are the prime factors of the number 30660. |
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