Question
Find the prime factorization of number 17484500.
Answer
The prime factorization of 17484500 is:
$$ 17484500 = 2\cdot2\cdot5\cdot5\cdot5\cdot11\cdot11\cdot17\cdot17 $$Which is the same as :
$$ 17484500 = 2^{2}\cdot5^{3}\cdot11^{2}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 17484500 can be written as 10 × 1748450. |
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| 10 can be written as 2 × 5. |
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| 1748450 can be written as 10 × 174845. |
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| 10 can be written as 2 × 5. |
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| 174845 can be written as 5 × 34969. |
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| 34969 can be written as 11 × 3179. |
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| 3179 can be written as 11 × 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 17484500. |
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