Question
Find the prime factorization of number 3900.
Answer
The prime factorization of 3900 is:
$$ 3900 = 2\cdot2\cdot3\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 3900 = 2^{2}\cdot3\cdot5^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3900 can be written as 10 × 390. |
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| 10 can be written as 2 × 5. |
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| 390 can be written as 10 × 39. |
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| 10 can be written as 2 × 5. |
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| 39 can be written as 3 × 13. |
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| The end nodes are the prime factors of the number 3900. |
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