Question
Find the prime factorization of number 30900.
Answer
The prime factorization of 30900 is:
$$ 30900 = 2\cdot2\cdot3\cdot5\cdot5\cdot103 $$Which is the same as :
$$ 30900 = 2^{2}\cdot3\cdot5^{2}\cdot103 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30900 can be written as 10 × 3090. |
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| 10 can be written as 2 × 5. |
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| 3090 can be written as 10 × 309. |
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| 10 can be written as 2 × 5. |
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| 309 can be written as 3 × 103. |
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| The end nodes are the prime factors of the number 30900. |
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