Find the prime factorization of number 248625.
Answer
The prime factorization of 248625 is:
$$ 248625 = 3\cdot3\cdot5\cdot5\cdot5\cdot13\cdot17 $$Which is the same as :
$$ 248625 = 3^{2}\cdot5^{3}\cdot13\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 248625 can be written as 5 × 49725. |
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| 49725 can be written as 5 × 9945. |
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| 9945 can be written as 5 × 1989. |
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| 1989 can be written as 3 × 663. |
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| 663 can be written as 3 × 221. |
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| 221 can be written as 13 × 17. |
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| The end nodes are the prime factors of the number 248625. |
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