Question
Find the prime factorization of number 2475024750.
Answer
The prime factorization of 2475024750 is:
$$ 2475024750 = 2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot11\cdot11\cdot9091 $$Which is the same as :
$$ 2475024750 = 2\cdot3^{2}\cdot5^{3}\cdot11^{2}\cdot9091 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2475024750 can be written as 10 × 247502475. |
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| 10 can be written as 2 × 5. |
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| 247502475 can be written as 5 × 49500495. |
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| 49500495 can be written as 5 × 9900099. |
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| 9900099 can be written as 3 × 3300033. |
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| 3300033 can be written as 3 × 1100011. |
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| 1100011 can be written as 11 × 100001. |
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| 100001 can be written as 11 × 9091. |
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| The end nodes are the prime factors of the number 2475024750. |
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