Question
Find the prime factorization of number 30704.
Answer
The prime factorization of 30704 is:
$$ 30704 = 2\cdot2\cdot2\cdot2\cdot19\cdot101 $$Which is the same as :
$$ 30704 = 2^{4}\cdot19\cdot101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30704 can be written as 2 × 15352. |
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| 15352 can be written as 2 × 7676. |
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| 7676 can be written as 2 × 3838. |
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| 3838 can be written as 2 × 1919. |
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| 1919 can be written as 19 × 101. |
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| The end nodes are the prime factors of the number 30704. |
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