Question
Find the prime factorization of number 5160.
Answer
The prime factorization of 5160 is:
$$ 5160 = 2\cdot2\cdot2\cdot3\cdot5\cdot43 $$Which is the same as :
$$ 5160 = 2^{3}\cdot3\cdot5\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5160 can be written as 10 × 516. |
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| 10 can be written as 2 × 5. |
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| 516 can be written as 2 × 258. |
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| 258 can be written as 2 × 129. |
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| 129 can be written as 3 × 43. |
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| The end nodes are the prime factors of the number 5160. |
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