Question
Find the prime factorization of number 3800.
Answer
The prime factorization of 3800 is:
$$ 3800 = 2\cdot2\cdot2\cdot5\cdot5\cdot19 $$Which is the same as :
$$ 3800 = 2^{3}\cdot5^{2}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3800 can be written as 10 × 380. |
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| 10 can be written as 2 × 5. |
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| 380 can be written as 10 × 38. |
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| 10 can be written as 2 × 5. |
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| 38 can be written as 2 × 19. |
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| The end nodes are the prime factors of the number 3800. |
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