Question
Find the prime factorization of number 12900.
Answer
The prime factorization of 12900 is:
$$ 12900 = 2\cdot2\cdot3\cdot5\cdot5\cdot43 $$Which is the same as :
$$ 12900 = 2^{2}\cdot3\cdot5^{2}\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 12900 can be written as 10 × 1290. |
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| 10 can be written as 2 × 5. |
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| 1290 can be written as 10 × 129. |
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| 10 can be written as 2 × 5. |
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| 129 can be written as 3 × 43. |
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| The end nodes are the prime factors of the number 12900. |
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