Question
Find the prime factorization of number 195112.
Answer
The prime factorization of 195112 is:
$$ 195112 = 2\cdot2\cdot2\cdot29\cdot29\cdot29 $$Which is the same as :
$$ 195112 = 2^{3}\cdot29^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 195112 can be written as 2 × 97556. |
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| 97556 can be written as 2 × 48778. |
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| 48778 can be written as 2 × 24389. |
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| 24389 can be written as 29 × 841. |
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| 841 can be written as 29 × 29. |
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| The end nodes are the prime factors of the number 195112. |
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