Question
Find the prime factorization of number 3948.
Answer
The prime factorization of 3948 is:
$$ 3948 = 2\cdot2\cdot3\cdot7\cdot47 $$Which is the same as :
$$ 3948 = 2^{2}\cdot3\cdot7\cdot47 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3948 can be written as 2 × 1974. |
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| 1974 can be written as 2 × 987. |
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| 987 can be written as 3 × 329. |
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| 329 can be written as 7 × 47. |
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| The end nodes are the prime factors of the number 3948. |
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