Question
Find the prime factorization of number 13975.
Answer
The prime factorization of 13975 is:
$$ 13975 = 5\cdot5\cdot13\cdot43 $$Which is the same as :
$$ 13975 = 5^{2}\cdot13\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 13975 can be written as 5 × 2795. |
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| 2795 can be written as 5 × 559. |
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| 559 can be written as 13 × 43. |
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| The end nodes are the prime factors of the number 13975. |
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