Question
Find the prime factorization of number 210509784.
Answer
The prime factorization of 210509784 is:
$$ 210509784 = 2\cdot2\cdot2\cdot3\cdot3\cdot2923747 $$Which is the same as :
$$ 210509784 = 2^{3}\cdot3^{2}\cdot2923747 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 210509784 can be written as 2 × 105254892. |
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| 105254892 can be written as 2 × 52627446. |
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| 52627446 can be written as 2 × 26313723. |
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| 26313723 can be written as 3 × 8771241. |
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| 8771241 can be written as 3 × 2923747. |
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| The end nodes are the prime factors of the number 210509784. |
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