Question
Find the prime factorization of number 77728.
Answer
The prime factorization of 77728 is:
$$ 77728 = 2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot347 $$Which is the same as :
$$ 77728 = 2^{5}\cdot7\cdot347 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 77728 can be written as 2 × 38864. |
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| 38864 can be written as 2 × 19432. |
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| 19432 can be written as 2 × 9716. |
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| 9716 can be written as 2 × 4858. |
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| 4858 can be written as 2 × 2429. |
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| 2429 can be written as 7 × 347. |
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| The end nodes are the prime factors of the number 77728. |
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