Question
Find the prime factorization of number 238328.
Answer
The prime factorization of 238328 is:
$$ 238328 = 2\cdot2\cdot2\cdot31\cdot31\cdot31 $$Which is the same as :
$$ 238328 = 2^{3}\cdot31^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 238328 can be written as 2 × 119164. |
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| 119164 can be written as 2 × 59582. |
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| 59582 can be written as 2 × 29791. |
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| 29791 can be written as 31 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 238328. |
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