Question
Find the prime factorization of number 47089.
Answer
The prime factorization of 47089 is:
$$ 47089 = 7\cdot7\cdot31\cdot31 $$Which is the same as :
$$ 47089 = 7^{2}\cdot31^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 47089 can be written as 7 × 6727. |
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| 6727 can be written as 7 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 47089. |
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