Question
Find the prime factorization of number 444889.
Answer
The prime factorization of 444889 is:
$$ 444889 = 23\cdot23\cdot29\cdot29 $$Which is the same as :
$$ 444889 = 23^{2}\cdot29^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 444889 can be written as 23 × 19343. |
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| 19343 can be written as 23 × 841. |
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| 841 can be written as 29 × 29. |
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| The end nodes are the prime factors of the number 444889. |
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