Question
Find the prime factorization of number 30960.
Answer
The prime factorization of 30960 is:
$$ 30960 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot43 $$Which is the same as :
$$ 30960 = 2^{4}\cdot3^{2}\cdot5\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30960 can be written as 10 × 3096. |
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| 10 can be written as 2 × 5. |
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| 3096 can be written as 2 × 1548. |
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| 1548 can be written as 2 × 774. |
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| 774 can be written as 2 × 387. |
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| 387 can be written as 3 × 129. |
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| 129 can be written as 3 × 43. |
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| The end nodes are the prime factors of the number 30960. |
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