Question
Find the prime factorization of number 30304.
Answer
The prime factorization of 30304 is:
$$ 30304 = 2\cdot2\cdot2\cdot2\cdot2\cdot947 $$Which is the same as :
$$ 30304 = 2^{5}\cdot947 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30304 can be written as 2 × 15152. |
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| 15152 can be written as 2 × 7576. |
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| 7576 can be written as 2 × 3788. |
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| 3788 can be written as 2 × 1894. |
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| 1894 can be written as 2 × 947. |
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| The end nodes are the prime factors of the number 30304. |
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