Question
Find the prime factorization of number 30872.
Answer
The prime factorization of 30872 is:
$$ 30872 = 2\cdot2\cdot2\cdot17\cdot227 $$Which is the same as :
$$ 30872 = 2^{3}\cdot17\cdot227 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30872 can be written as 2 × 15436. |
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| 15436 can be written as 2 × 7718. |
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| 7718 can be written as 2 × 3859. |
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| 3859 can be written as 17 × 227. |
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| The end nodes are the prime factors of the number 30872. |
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