Question
Find the prime factorization of number 38675.
Answer
The prime factorization of 38675 is:
$$ 38675 = 5\cdot5\cdot7\cdot13\cdot17 $$Which is the same as :
$$ 38675 = 5^{2}\cdot7\cdot13\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 38675 can be written as 5 × 7735. |
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| 7735 can be written as 5 × 1547. |
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| 1547 can be written as 7 × 221. |
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| 221 can be written as 13 × 17. |
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| The end nodes are the prime factors of the number 38675. |
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