Question
Find the prime factorization of number 30690.
Answer
The prime factorization of 30690 is:
$$ 30690 = 2\cdot3\cdot3\cdot5\cdot11\cdot31 $$Which is the same as :
$$ 30690 = 2\cdot3^{2}\cdot5\cdot11\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30690 can be written as 10 × 3069. |
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| 10 can be written as 2 × 5. |
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| 3069 can be written as 3 × 1023. |
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| 1023 can be written as 3 × 341. |
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| 341 can be written as 11 × 31. |
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| The end nodes are the prime factors of the number 30690. |
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