Question
Find the prime factorization of number 1251948.
Answer
The prime factorization of 1251948 is:
$$ 1251948 = 2\cdot2\cdot3\cdot17\cdot17\cdot19\cdot19 $$Which is the same as :
$$ 1251948 = 2^{2}\cdot3\cdot17^{2}\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1251948 can be written as 2 × 625974. |
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| 625974 can be written as 2 × 312987. |
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| 312987 can be written as 3 × 104329. |
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| 104329 can be written as 17 × 6137. |
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| 6137 can be written as 17 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 1251948. |
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