Question
Find the prime factorization of number 6865625.
Answer
The prime factorization of 6865625 is:
$$ 6865625 = 5\cdot5\cdot5\cdot5\cdot5\cdot13\cdot13\cdot13 $$Which is the same as :
$$ 6865625 = 5^{5}\cdot13^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6865625 can be written as 5 × 1373125. |
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| 1373125 can be written as 5 × 274625. |
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| 274625 can be written as 5 × 54925. |
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| 54925 can be written as 5 × 10985. |
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| 10985 can be written as 5 × 2197. |
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| 2197 can be written as 13 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 6865625. |
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