Question
Find the prime factorization of number 99856.
Answer
The prime factorization of 99856 is:
$$ 99856 = 2\cdot2\cdot2\cdot2\cdot79\cdot79 $$Which is the same as :
$$ 99856 = 2^{4}\cdot79^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 99856 can be written as 2 × 49928. |
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| 49928 can be written as 2 × 24964. |
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| 24964 can be written as 2 × 12482. |
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| 12482 can be written as 2 × 6241. |
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| 6241 can be written as 79 × 79. |
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| The end nodes are the prime factors of the number 99856. |
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