Find the prime factorization of number 17576.
Answer
The prime factorization of 17576 is:
$$ 17576 = 2\cdot2\cdot2\cdot13\cdot13\cdot13 $$Which is the same as :
$$ 17576 = 2^{3}\cdot13^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 17576 can be written as 2 × 8788. |
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| 8788 can be written as 2 × 4394. |
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| 4394 can be written as 2 × 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 17576. |
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