Question
Find the prime factorization of number 9765625.
Answer
The prime factorization of 9765625 is:
$$ 9765625 = 5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 9765625 = 5^{10} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9765625 can be written as 5 × 1953125. |
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| 1953125 can be written as 5 × 390625. |
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| 390625 can be written as 5 × 78125. |
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| 78125 can be written as 5 × 15625. |
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| 15625 can be written as 5 × 3125. |
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| 3125 can be written as 5 × 625. |
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| 625 can be written as 5 × 125. |
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| 125 can be written as 5 × 25. |
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| 25 can be written as 5 × 5. |
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| The end nodes are the prime factors of the number 9765625. |
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