Question
Find the prime factorization of number 308749.
Answer
The prime factorization of 308749 is:
$$ 308749 = 7\cdot7\cdot6301 $$Which is the same as :
$$ 308749 = 7^{2}\cdot6301 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 308749 can be written as 7 × 44107. |
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| 44107 can be written as 7 × 6301. |
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| The end nodes are the prime factors of the number 308749. |
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