Question
Find the prime factorization of number 1575.
Answer
The prime factorization of 1575 is:
$$ 1575 = 3\cdot3\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 1575 = 3^{2}\cdot5^{2}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1575 can be written as 5 × 315. |
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| 315 can be written as 5 × 63. |
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| 63 can be written as 3 × 21. |
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| 21 can be written as 3 × 7. |
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| The end nodes are the prime factors of the number 1575. |
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