Question
Find the prime factorization of number 20750.
Answer
The prime factorization of 20750 is:
$$ 20750 = 2\cdot5\cdot5\cdot5\cdot83 $$Which is the same as :
$$ 20750 = 2\cdot5^{3}\cdot83 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 20750 can be written as 10 × 2075. |
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| 10 can be written as 2 × 5. |
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| 2075 can be written as 5 × 415. |
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| 415 can be written as 5 × 83. |
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| The end nodes are the prime factors of the number 20750. |
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