Find the prime factorization of number 36525.
Answer
The prime factorization of 36525 is:
$$ 36525 = 3\cdot5\cdot5\cdot487 $$Which is the same as :
$$ 36525 = 3\cdot5^{2}\cdot487 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 36525 can be written as 5 × 7305. |
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| 7305 can be written as 5 × 1461. |
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| 1461 can be written as 3 × 487. |
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| The end nodes are the prime factors of the number 36525. |
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