Question
Find the prime factorization of number 30525.
Answer
The prime factorization of 30525 is:
$$ 30525 = 3\cdot5\cdot5\cdot11\cdot37 $$Which is the same as :
$$ 30525 = 3\cdot5^{2}\cdot11\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30525 can be written as 5 × 6105. |
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| 6105 can be written as 5 × 1221. |
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| 1221 can be written as 3 × 407. |
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| 407 can be written as 11 × 37. |
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| The end nodes are the prime factors of the number 30525. |
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