Find the prime factorization of number 14500.
Answer
The prime factorization of 14500 is:
$$ 14500 = 2\cdot2\cdot5\cdot5\cdot5\cdot29 $$Which is the same as :
$$ 14500 = 2^{2}\cdot5^{3}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 14500 can be written as 10 × 1450. |
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| 10 can be written as 2 × 5. |
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| 1450 can be written as 10 × 145. |
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| 10 can be written as 2 × 5. |
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| 145 can be written as 5 × 29. |
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| The end nodes are the prime factors of the number 14500. |
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