Question
Find the prime factorization of number 3784.
Answer
The prime factorization of 3784 is:
$$ 3784 = 2\cdot2\cdot2\cdot11\cdot43 $$Which is the same as :
$$ 3784 = 2^{3}\cdot11\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3784 can be written as 2 × 1892. |
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| 1892 can be written as 2 × 946. |
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| 946 can be written as 2 × 473. |
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| 473 can be written as 11 × 43. |
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| The end nodes are the prime factors of the number 3784. |
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