Question
Find the prime factorization of number 38325.
Answer
The prime factorization of 38325 is:
$$ 38325 = 3\cdot5\cdot5\cdot7\cdot73 $$Which is the same as :
$$ 38325 = 3\cdot5^{2}\cdot7\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 38325 can be written as 5 × 7665. |
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| 7665 can be written as 5 × 1533. |
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| 1533 can be written as 3 × 511. |
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| 511 can be written as 7 × 73. |
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| The end nodes are the prime factors of the number 38325. |
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