Find the prime factorization of number 3675.
Answer
The prime factorization of 3675 is:
$$ 3675 = 3\cdot5\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 3675 = 3\cdot5^{2}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3675 can be written as 5 × 735. |
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| 735 can be written as 5 × 147. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 3675. |
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