Question
Find the prime factorization of number 4851.
Answer
The prime factorization of 4851 is:
$$ 4851 = 3\cdot3\cdot7\cdot7\cdot11 $$Which is the same as :
$$ 4851 = 3^{2}\cdot7^{2}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4851 can be written as 3 × 1617. |
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| 1617 can be written as 3 × 539. |
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| 539 can be written as 7 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 4851. |
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