Question
Find the prime factorization of number 232804.
Answer
The prime factorization of 232804 is:
$$ 232804 = 2\cdot2\cdot11\cdot11\cdot13\cdot37 $$Which is the same as :
$$ 232804 = 2^{2}\cdot11^{2}\cdot13\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 232804 can be written as 2 × 116402. |
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| 116402 can be written as 2 × 58201. |
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| 58201 can be written as 11 × 5291. |
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| 5291 can be written as 11 × 481. |
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| 481 can be written as 13 × 37. |
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| The end nodes are the prime factors of the number 232804. |
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