Find the prime factorization of number 30450.
Answer
The prime factorization of 30450 is:
$$ 30450 = 2\cdot3\cdot5\cdot5\cdot7\cdot29 $$Which is the same as :
$$ 30450 = 2\cdot3\cdot5^{2}\cdot7\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30450 can be written as 10 × 3045. |
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| 10 can be written as 2 × 5. |
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| 3045 can be written as 5 × 609. |
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| 609 can be written as 3 × 203. |
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| 203 can be written as 7 × 29. |
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| The end nodes are the prime factors of the number 30450. |
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