Question
Find the prime factorization of number 1156.
Answer
The prime factorization of 1156 is:
$$ 1156 = 2\cdot2\cdot17\cdot17 $$Which is the same as :
$$ 1156 = 2^{2}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1156 can be written as 2 × 578. |
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| 578 can be written as 2 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 1156. |
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