Question
Find the prime factorization of number 10097568.
Answer
The prime factorization of 10097568 is:
$$ 10097568 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot13\cdot29\cdot31 $$Which is the same as :
$$ 10097568 = 2^{5}\cdot3^{3}\cdot13\cdot29\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10097568 can be written as 2 × 5048784. |
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| 5048784 can be written as 2 × 2524392. |
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| 2524392 can be written as 2 × 1262196. |
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| 1262196 can be written as 2 × 631098. |
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| 631098 can be written as 2 × 315549. |
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| 315549 can be written as 3 × 105183. |
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| 105183 can be written as 3 × 35061. |
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| 35061 can be written as 3 × 11687. |
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| 11687 can be written as 13 × 899. |
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| 899 can be written as 29 × 31. |
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| The end nodes are the prime factors of the number 10097568. |
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