Question
Find the prime factorization of number 134540.
Answer
The prime factorization of 134540 is:
$$ 134540 = 2\cdot2\cdot5\cdot7\cdot31\cdot31 $$Which is the same as :
$$ 134540 = 2^{2}\cdot5\cdot7\cdot31^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 134540 can be written as 10 × 13454. |
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| 10 can be written as 2 × 5. |
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| 13454 can be written as 2 × 6727. |
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| 6727 can be written as 7 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 134540. |
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