Question
Find the prime factorization of number 1148.
Answer
The prime factorization of 1148 is:
$$ 1148 = 2\cdot2\cdot7\cdot41 $$Which is the same as :
$$ 1148 = 2^{2}\cdot7\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1148 can be written as 2 × 574. |
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| 574 can be written as 2 × 287. |
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| 287 can be written as 7 × 41. |
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| The end nodes are the prime factors of the number 1148. |
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