Question
Find the prime factorization of number 872.
Answer
The prime factorization of 872 is:
$$ 872 = 2\cdot2\cdot2\cdot109 $$Which is the same as :
$$ 872 = 2^{3}\cdot109 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 872 can be written as 2 × 436. |
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| 436 can be written as 2 × 218. |
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| 218 can be written as 2 × 109. |
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| The end nodes are the prime factors of the number 872. |
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