Question
Find the prime factorization of number 11270.
Answer
The prime factorization of 11270 is:
$$ 11270 = 2\cdot5\cdot7\cdot7\cdot23 $$Which is the same as :
$$ 11270 = 2\cdot5\cdot7^{2}\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 11270 can be written as 10 × 1127. |
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| 10 can be written as 2 × 5. |
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| 1127 can be written as 7 × 161. |
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| 161 can be written as 7 × 23. |
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| The end nodes are the prime factors of the number 11270. |
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