Question
Find the prime factorization of number 4788.
Answer
The prime factorization of 4788 is:
$$ 4788 = 2\cdot2\cdot3\cdot3\cdot7\cdot19 $$Which is the same as :
$$ 4788 = 2^{2}\cdot3^{2}\cdot7\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4788 can be written as 2 × 2394. |
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| 2394 can be written as 2 × 1197. |
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| 1197 can be written as 3 × 399. |
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| 399 can be written as 3 × 133. |
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| 133 can be written as 7 × 19. |
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| The end nodes are the prime factors of the number 4788. |
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