Find the prime factorization of number 14700.
Answer
The prime factorization of 14700 is:
$$ 14700 = 2\cdot2\cdot3\cdot5\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 14700 = 2^{2}\cdot3\cdot5^{2}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 14700 can be written as 10 × 1470. |
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| 10 can be written as 2 × 5. |
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| 1470 can be written as 10 × 147. |
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| 10 can be written as 2 × 5. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 14700. |
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