Question
Find the prime factorization of number 4256.
Answer
The prime factorization of 4256 is:
$$ 4256 = 2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot19 $$Which is the same as :
$$ 4256 = 2^{5}\cdot7\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4256 can be written as 2 × 2128. |
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| 2128 can be written as 2 × 1064. |
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| 1064 can be written as 2 × 532. |
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| 532 can be written as 2 × 266. |
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| 266 can be written as 2 × 133. |
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| 133 can be written as 7 × 19. |
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| The end nodes are the prime factors of the number 4256. |
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