Question
Find the prime factorization of number 142766.
Answer
The prime factorization of 142766 is:
$$ 142766 = 2\cdot13\cdot17\cdot17\cdot19 $$Which is the same as :
$$ 142766 = 2\cdot13\cdot17^{2}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 142766 can be written as 2 × 71383. |
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| 71383 can be written as 13 × 5491. |
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| 5491 can be written as 17 × 323. |
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| 323 can be written as 17 × 19. |
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| The end nodes are the prime factors of the number 142766. |
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