Question
Find the prime factorization of number 49468419.
Answer
The prime factorization of 49468419 is:
$$ 49468419 = 3\cdot3\cdot7\cdot11\cdot13\cdot17\cdot17\cdot19 $$Which is the same as :
$$ 49468419 = 3^{2}\cdot7\cdot11\cdot13\cdot17^{2}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 49468419 can be written as 3 × 16489473. |
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| 16489473 can be written as 3 × 5496491. |
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| 5496491 can be written as 7 × 785213. |
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| 785213 can be written as 11 × 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 49468419. |
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