Question
Find the prime factorization of number 30250.
Answer
The prime factorization of 30250 is:
$$ 30250 = 2\cdot5\cdot5\cdot5\cdot11\cdot11 $$Which is the same as :
$$ 30250 = 2\cdot5^{3}\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30250 can be written as 10 × 3025. |
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| 10 can be written as 2 × 5. |
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| 3025 can be written as 5 × 605. |
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| 605 can be written as 5 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 30250. |
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