Question
Find the prime factorization of number 744.
Answer
The prime factorization of 744 is:
$$ 744 = 2\cdot2\cdot2\cdot3\cdot31 $$Which is the same as :
$$ 744 = 2^{3}\cdot3\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 744 can be written as 2 × 372. |
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| 372 can be written as 2 × 186. |
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| 186 can be written as 2 × 93. |
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| 93 can be written as 3 × 31. |
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| The end nodes are the prime factors of the number 744. |
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