Question
Find the prime factorization of number 4914.
Answer
The prime factorization of 4914 is:
$$ 4914 = 2\cdot3\cdot3\cdot3\cdot7\cdot13 $$Which is the same as :
$$ 4914 = 2\cdot3^{3}\cdot7\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4914 can be written as 2 × 2457. |
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| 2457 can be written as 3 × 819. |
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| 819 can be written as 3 × 273. |
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| 273 can be written as 3 × 91. |
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| 91 can be written as 7 × 13. |
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| The end nodes are the prime factors of the number 4914. |
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