Question
Find the prime factorization of number 4557.
Answer
The prime factorization of 4557 is:
$$ 4557 = 3\cdot7\cdot7\cdot31 $$Which is the same as :
$$ 4557 = 3\cdot7^{2}\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4557 can be written as 3 × 1519. |
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| 1519 can be written as 7 × 217. |
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| 217 can be written as 7 × 31. |
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| The end nodes are the prime factors of the number 4557. |
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