Question
Find the prime factorization of number 45470971.
Answer
The prime factorization of 45470971 is:
$$ 45470971 = 7\cdot7\cdot13\cdot13\cdot17\cdot17\cdot19 $$Which is the same as :
$$ 45470971 = 7^{2}\cdot13^{2}\cdot17^{2}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 45470971 can be written as 7 × 6495853. |
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| 6495853 can be written as 7 × 927979. |
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| 927979 can be written as 13 × 71383. |
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| 71383 can be written as 13 × 5491. |
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| 5491 can be written as 17 × 323. |
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| 323 can be written as 17 × 19. |
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| The end nodes are the prime factors of the number 45470971. |
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