Question
Find the prime factorization of number 124659.
Answer
The prime factorization of 124659 is:
$$ 124659 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot19 $$Which is the same as :
$$ 124659 = 3^{8}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 124659 can be written as 3 × 41553. |
|
| 41553 can be written as 3 × 13851. |
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| 13851 can be written as 3 × 4617. |
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| 4617 can be written as 3 × 1539. |
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| 1539 can be written as 3 × 513. |
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| 513 can be written as 3 × 171. |
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| 171 can be written as 3 × 57. |
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| 57 can be written as 3 × 19. |
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| The end nodes are the prime factors of the number 124659. |
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