Question
Find the prime factorization of number 83752.
Answer
The prime factorization of 83752 is:
$$ 83752 = 2\cdot2\cdot2\cdot19\cdot19\cdot29 $$Which is the same as :
$$ 83752 = 2^{3}\cdot19^{2}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 83752 can be written as 2 × 41876. |
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| 41876 can be written as 2 × 20938. |
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| 20938 can be written as 2 × 10469. |
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| 10469 can be written as 19 × 551. |
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| 551 can be written as 19 × 29. |
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| The end nodes are the prime factors of the number 83752. |
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