Question
Find the prime factorization of number 30510.
Answer
The prime factorization of 30510 is:
$$ 30510 = 2\cdot3\cdot3\cdot3\cdot5\cdot113 $$Which is the same as :
$$ 30510 = 2\cdot3^{3}\cdot5\cdot113 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30510 can be written as 10 × 3051. |
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| 10 can be written as 2 × 5. |
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| 3051 can be written as 3 × 1017. |
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| 1017 can be written as 3 × 339. |
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| 339 can be written as 3 × 113. |
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| The end nodes are the prime factors of the number 30510. |
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