Question
Find the prime factorization of number 1448.
Answer
The prime factorization of 1448 is:
$$ 1448 = 2\cdot2\cdot2\cdot181 $$Which is the same as :
$$ 1448 = 2^{3}\cdot181 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1448 can be written as 2 × 724. |
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| 724 can be written as 2 × 362. |
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| 362 can be written as 2 × 181. |
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| The end nodes are the prime factors of the number 1448. |
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