Question
Find the prime factorization of number 728.
Answer
The prime factorization of 728 is:
$$ 728 = 2\cdot2\cdot2\cdot7\cdot13 $$Which is the same as :
$$ 728 = 2^{3}\cdot7\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 728 can be written as 2 × 364. |
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| 364 can be written as 2 × 182. |
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| 182 can be written as 2 × 91. |
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| 91 can be written as 7 × 13. |
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| The end nodes are the prime factors of the number 728. |
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