Question
Find the prime factorization of number 30880.
Answer
The prime factorization of 30880 is:
$$ 30880 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot193 $$Which is the same as :
$$ 30880 = 2^{5}\cdot5\cdot193 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30880 can be written as 10 × 3088. |
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| 10 can be written as 2 × 5. |
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| 3088 can be written as 2 × 1544. |
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| 1544 can be written as 2 × 772. |
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| 772 can be written as 2 × 386. |
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| 386 can be written as 2 × 193. |
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| The end nodes are the prime factors of the number 30880. |
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