Question
Find the prime factorization of number 8788.
Answer
The prime factorization of 8788 is:
$$ 8788 = 2\cdot2\cdot13\cdot13\cdot13 $$Which is the same as :
$$ 8788 = 2^{2}\cdot13^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8788 can be written as 2 × 4394. |
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| 4394 can be written as 2 × 2197. |
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| 2197 can be written as 13 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 8788. |
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