Question
Find the prime factorization of number 30632.
Answer
The prime factorization of 30632 is:
$$ 30632 = 2\cdot2\cdot2\cdot7\cdot547 $$Which is the same as :
$$ 30632 = 2^{3}\cdot7\cdot547 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30632 can be written as 2 × 15316. |
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| 15316 can be written as 2 × 7658. |
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| 7658 can be written as 2 × 3829. |
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| 3829 can be written as 7 × 547. |
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| The end nodes are the prime factors of the number 30632. |
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