Question
Find the prime factorization of number 36500.
Answer
The prime factorization of 36500 is:
$$ 36500 = 2\cdot2\cdot5\cdot5\cdot5\cdot73 $$Which is the same as :
$$ 36500 = 2^{2}\cdot5^{3}\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 36500 can be written as 10 × 3650. |
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| 10 can be written as 2 × 5. |
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| 3650 can be written as 10 × 365. |
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| 10 can be written as 2 × 5. |
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| 365 can be written as 5 × 73. |
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| The end nodes are the prime factors of the number 36500. |
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