Question
Find the prime factorization of number 30807.
Answer
The prime factorization of 30807 is:
$$ 30807 = 3\cdot3\cdot3\cdot7\cdot163 $$Which is the same as :
$$ 30807 = 3^{3}\cdot7\cdot163 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30807 can be written as 3 × 10269. |
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| 10269 can be written as 3 × 3423. |
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| 3423 can be written as 3 × 1141. |
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| 1141 can be written as 7 × 163. |
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| The end nodes are the prime factors of the number 30807. |
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