Question
Find the prime factorization of number 8352100.
Answer
The prime factorization of 8352100 is:
$$ 8352100 = 2\cdot2\cdot5\cdot5\cdot17\cdot17\cdot17\cdot17 $$Which is the same as :
$$ 8352100 = 2^{2}\cdot5^{2}\cdot17^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8352100 can be written as 10 × 835210. |
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| 10 can be written as 2 × 5. |
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| 835210 can be written as 10 × 83521. |
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| 10 can be written as 2 × 5. |
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| 83521 can be written as 17 × 4913. |
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| 4913 can be written as 17 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 8352100. |
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