Question
Find the prime factorization of number 30856.
Answer
The prime factorization of 30856 is:
$$ 30856 = 2\cdot2\cdot2\cdot7\cdot19\cdot29 $$Which is the same as :
$$ 30856 = 2^{3}\cdot7\cdot19\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30856 can be written as 2 × 15428. |
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| 15428 can be written as 2 × 7714. |
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| 7714 can be written as 2 × 3857. |
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| 3857 can be written as 7 × 551. |
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| 551 can be written as 19 × 29. |
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| The end nodes are the prime factors of the number 30856. |
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