Question
Find the prime factorization of number 30758.
Answer
The prime factorization of 30758 is:
$$ 30758 = 2\cdot7\cdot13\cdot13\cdot13 $$Which is the same as :
$$ 30758 = 2\cdot7\cdot13^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30758 can be written as 2 × 15379. |
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| 15379 can be written as 7 × 2197. |
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| 2197 can be written as 13 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 30758. |
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