Question
Find the prime factorization of number 30640.
Answer
The prime factorization of 30640 is:
$$ 30640 = 2\cdot2\cdot2\cdot2\cdot5\cdot383 $$Which is the same as :
$$ 30640 = 2^{4}\cdot5\cdot383 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30640 can be written as 10 × 3064. |
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| 10 can be written as 2 × 5. |
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| 3064 can be written as 2 × 1532. |
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| 1532 can be written as 2 × 766. |
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| 766 can be written as 2 × 383. |
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| The end nodes are the prime factors of the number 30640. |
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