Find the prime factorization of number 496.
Answer
The prime factorization of 496 is:
$$ 496 = 2\cdot2\cdot2\cdot2\cdot31 $$Which is the same as :
$$ 496 = 2^{4}\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 496 can be written as 2 × 248. |
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| 248 can be written as 2 × 124. |
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| 124 can be written as 2 × 62. |
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| 62 can be written as 2 × 31. |
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| The end nodes are the prime factors of the number 496. |
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