Question
Find the prime factorization of number 17444.
Answer
The prime factorization of 17444 is:
$$ 17444 = 2\cdot2\cdot7\cdot7\cdot89 $$Which is the same as :
$$ 17444 = 2^{2}\cdot7^{2}\cdot89 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 17444 can be written as 2 × 8722. |
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| 8722 can be written as 2 × 4361. |
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| 4361 can be written as 7 × 623. |
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| 623 can be written as 7 × 89. |
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| The end nodes are the prime factors of the number 17444. |
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