Question
Find the prime factorization of number 22344.
Answer
The prime factorization of 22344 is:
$$ 22344 = 2\cdot2\cdot2\cdot3\cdot7\cdot7\cdot19 $$Which is the same as :
$$ 22344 = 2^{3}\cdot3\cdot7^{2}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 22344 can be written as 2 × 11172. |
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| 11172 can be written as 2 × 5586. |
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| 5586 can be written as 2 × 2793. |
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| 2793 can be written as 3 × 931. |
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| 931 can be written as 7 × 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 22344. |
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