Question
Find the prime factorization of number 30750.
Answer
The prime factorization of 30750 is:
$$ 30750 = 2\cdot3\cdot5\cdot5\cdot5\cdot41 $$Which is the same as :
$$ 30750 = 2\cdot3\cdot5^{3}\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30750 can be written as 10 × 3075. |
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| 10 can be written as 2 × 5. |
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| 3075 can be written as 5 × 615. |
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| 615 can be written as 5 × 123. |
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| 123 can be written as 3 × 41. |
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| The end nodes are the prime factors of the number 30750. |
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