Question
Find the prime factorization of number 30752.
Answer
The prime factorization of 30752 is:
$$ 30752 = 2\cdot2\cdot2\cdot2\cdot2\cdot31\cdot31 $$Which is the same as :
$$ 30752 = 2^{5}\cdot31^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30752 can be written as 2 × 15376. |
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| 15376 can be written as 2 × 7688. |
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| 7688 can be written as 2 × 3844. |
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| 3844 can be written as 2 × 1922. |
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| 1922 can be written as 2 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 30752. |
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