Question
Find the prime factorization of number 35742.
Answer
The prime factorization of 35742 is:
$$ 35742 = 2\cdot3\cdot7\cdot23\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 35742 can be written as 2 × 17871. |
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| 17871 can be written as 3 × 5957. |
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| 5957 can be written as 7 × 851. |
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| 851 can be written as 23 × 37. |
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| The end nodes are the prime factors of the number 35742. |
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