Question
Find the prime factorization of number 8848.
Answer
The prime factorization of 8848 is:
$$ 8848 = 2\cdot2\cdot2\cdot2\cdot7\cdot79 $$Which is the same as :
$$ 8848 = 2^{4}\cdot7\cdot79 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8848 can be written as 2 × 4424. |
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| 4424 can be written as 2 × 2212. |
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| 2212 can be written as 2 × 1106. |
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| 1106 can be written as 2 × 553. |
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| 553 can be written as 7 × 79. |
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| The end nodes are the prime factors of the number 8848. |
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