Question
Find the prime factorization of number 1500037.
Answer
The prime factorization of 1500037 is:
$$ 1500037 = 7\cdot7\cdot11\cdot11\cdot11\cdot23 $$Which is the same as :
$$ 1500037 = 7^{2}\cdot11^{3}\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1500037 can be written as 7 × 214291. |
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| 214291 can be written as 7 × 30613. |
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| 30613 can be written as 11 × 2783. |
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| 2783 can be written as 11 × 253. |
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| 253 can be written as 11 × 23. |
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| The end nodes are the prime factors of the number 1500037. |
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