Find the prime factorization of number 1500.
Answer
The prime factorization of 1500 is:
$$ 1500 = 2\cdot2\cdot3\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 1500 = 2^{2}\cdot3\cdot5^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1500 can be written as 10 × 150. |
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| 10 can be written as 2 × 5. |
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| 150 can be written as 10 × 15. |
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| 10 can be written as 2 × 5. |
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| 15 can be written as 5 × 3. |
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| The end nodes are the prime factors of the number 1500. |
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