Question
Find the prime factorization of number 7575.
Answer
The prime factorization of 7575 is:
$$ 7575 = 3\cdot5\cdot5\cdot101 $$Which is the same as :
$$ 7575 = 3\cdot5^{2}\cdot101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7575 can be written as 5 × 1515. |
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| 1515 can be written as 5 × 303. |
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| 303 can be written as 3 × 101. |
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| The end nodes are the prime factors of the number 7575. |
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