Question
Find the prime factorization of number 1900.
Answer
The prime factorization of 1900 is:
$$ 1900 = 2\cdot2\cdot5\cdot5\cdot19 $$Which is the same as :
$$ 1900 = 2^{2}\cdot5^{2}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1900 can be written as 10 × 190. |
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| 10 can be written as 2 × 5. |
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| 190 can be written as 10 × 19. |
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| 10 can be written as 2 × 5. |
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| The end nodes are the prime factors of the number 1900. |
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