Question
Find the prime factorization of number 30760.
Answer
The prime factorization of 30760 is:
$$ 30760 = 2\cdot2\cdot2\cdot5\cdot769 $$Which is the same as :
$$ 30760 = 2^{3}\cdot5\cdot769 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30760 can be written as 10 × 3076. |
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| 10 can be written as 2 × 5. |
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| 3076 can be written as 2 × 1538. |
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| 1538 can be written as 2 × 769. |
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| The end nodes are the prime factors of the number 30760. |
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