Question
Find the prime factorization of number 59829.
Answer
The prime factorization of 59829 is:
$$ 59829 = 3\cdot7\cdot7\cdot11\cdot37 $$Which is the same as :
$$ 59829 = 3\cdot7^{2}\cdot11\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 59829 can be written as 3 × 19943. |
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| 19943 can be written as 7 × 2849. |
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| 2849 can be written as 7 × 407. |
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| 407 can be written as 11 × 37. |
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| The end nodes are the prime factors of the number 59829. |
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