Question
Find the prime factorization of number 428546.
Answer
The prime factorization of 428546 is:
$$ 428546 = 2\cdot47\cdot47\cdot97 $$Which is the same as :
$$ 428546 = 2\cdot47^{2}\cdot97 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 428546 can be written as 2 × 214273. |
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| 214273 can be written as 47 × 4559. |
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| 4559 can be written as 47 × 97. |
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| The end nodes are the prime factors of the number 428546. |
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