Question
Find the prime factorization of number 349525.
Answer
The prime factorization of 349525 is:
$$ 349525 = 5\cdot5\cdot11\cdot31\cdot41 $$Which is the same as :
$$ 349525 = 5^{2}\cdot11\cdot31\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 349525 can be written as 5 × 69905. |
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| 69905 can be written as 5 × 13981. |
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| 13981 can be written as 11 × 1271. |
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| 1271 can be written as 31 × 41. |
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| The end nodes are the prime factors of the number 349525. |
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