Find the prime factorization of number 30328.
Answer
The prime factorization of 30328 is:
$$ 30328 = 2\cdot2\cdot2\cdot17\cdot223 $$Which is the same as :
$$ 30328 = 2^{3}\cdot17\cdot223 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30328 can be written as 2 × 15164. |
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| 15164 can be written as 2 × 7582. |
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| 7582 can be written as 2 × 3791. |
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| 3791 can be written as 17 × 223. |
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| The end nodes are the prime factors of the number 30328. |
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