Question
Find the prime factorization of number 30675.
Answer
The prime factorization of 30675 is:
$$ 30675 = 3\cdot5\cdot5\cdot409 $$Which is the same as :
$$ 30675 = 3\cdot5^{2}\cdot409 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30675 can be written as 5 × 6135. |
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| 6135 can be written as 5 × 1227. |
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| 1227 can be written as 3 × 409. |
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| The end nodes are the prime factors of the number 30675. |
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