Question
Find the prime factorization of number 42828.
Answer
The prime factorization of 42828 is:
$$ 42828 = 2\cdot2\cdot3\cdot43\cdot83 $$Which is the same as :
$$ 42828 = 2^{2}\cdot3\cdot43\cdot83 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 42828 can be written as 2 × 21414. |
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| 21414 can be written as 2 × 10707. |
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| 10707 can be written as 3 × 3569. |
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| 3569 can be written as 43 × 83. |
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| The end nodes are the prime factors of the number 42828. |
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