Question
Find the prime factorization of number 1444.
Answer
The prime factorization of 1444 is:
$$ 1444 = 2\cdot2\cdot19\cdot19 $$Which is the same as :
$$ 1444 = 2^{2}\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1444 can be written as 2 × 722. |
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| 722 can be written as 2 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 1444. |
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