Question
Find the prime factorization of number 7788.
Answer
The prime factorization of 7788 is:
$$ 7788 = 2\cdot2\cdot3\cdot11\cdot59 $$Which is the same as :
$$ 7788 = 2^{2}\cdot3\cdot11\cdot59 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7788 can be written as 2 × 3894. |
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| 3894 can be written as 2 × 1947. |
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| 1947 can be written as 3 × 649. |
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| 649 can be written as 11 × 59. |
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| The end nodes are the prime factors of the number 7788. |
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