Question
Find the prime factorization of number 10829.
Answer
The prime factorization of 10829 is:
$$ 10829 = 7\cdot7\cdot13\cdot17 $$Which is the same as :
$$ 10829 = 7^{2}\cdot13\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10829 can be written as 7 × 1547. |
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| 1547 can be written as 7 × 221. |
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| 221 can be written as 13 × 17. |
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| The end nodes are the prime factors of the number 10829. |
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