Question
Find the prime factorization of number 25120144.
Answer
The prime factorization of 25120144 is:
$$ 25120144 = 2\cdot2\cdot2\cdot2\cdot7\cdot7\cdot179\cdot179 $$Which is the same as :
$$ 25120144 = 2^{4}\cdot7^{2}\cdot179^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 25120144 can be written as 2 × 12560072. |
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| 12560072 can be written as 2 × 6280036. |
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| 6280036 can be written as 2 × 3140018. |
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| 3140018 can be written as 2 × 1570009. |
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| 1570009 can be written as 7 × 224287. |
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| 224287 can be written as 7 × 32041. |
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| 32041 can be written as 179 × 179. |
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| The end nodes are the prime factors of the number 25120144. |
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