Question
Find the prime factorization of number 8456.
Answer
The prime factorization of 8456 is:
$$ 8456 = 2\cdot2\cdot2\cdot7\cdot151 $$Which is the same as :
$$ 8456 = 2^{3}\cdot7\cdot151 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8456 can be written as 2 × 4228. |
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| 4228 can be written as 2 × 2114. |
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| 2114 can be written as 2 × 1057. |
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| 1057 can be written as 7 × 151. |
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| The end nodes are the prime factors of the number 8456. |
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