Question
Find the prime factorization of number 276525.
Answer
The prime factorization of 276525 is:
$$ 276525 = 3\cdot3\cdot5\cdot5\cdot1229 $$Which is the same as :
$$ 276525 = 3^{2}\cdot5^{2}\cdot1229 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 276525 can be written as 5 × 55305. |
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| 55305 can be written as 5 × 11061. |
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| 11061 can be written as 3 × 3687. |
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| 3687 can be written as 3 × 1229. |
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| The end nodes are the prime factors of the number 276525. |
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