Question
Find the prime factorization of number 30316.
Answer
The prime factorization of 30316 is:
$$ 30316 = 2\cdot2\cdot11\cdot13\cdot53 $$Which is the same as :
$$ 30316 = 2^{2}\cdot11\cdot13\cdot53 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30316 can be written as 2 × 15158. |
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| 15158 can be written as 2 × 7579. |
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| 7579 can be written as 11 × 689. |
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| 689 can be written as 13 × 53. |
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| The end nodes are the prime factors of the number 30316. |
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