Question
Find the prime factorization of number 22800.
Answer
The prime factorization of 22800 is:
$$ 22800 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot19 $$Which is the same as :
$$ 22800 = 2^{4}\cdot3\cdot5^{2}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 22800 can be written as 10 × 2280. |
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| 10 can be written as 2 × 5. |
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| 2280 can be written as 10 × 228. |
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| 10 can be written as 2 × 5. |
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| 228 can be written as 2 × 114. |
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| 114 can be written as 2 × 57. |
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| 57 can be written as 3 × 19. |
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| The end nodes are the prime factors of the number 22800. |
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