Question
Find the prime factorization of number 4056.
Answer
The prime factorization of 4056 is:
$$ 4056 = 2\cdot2\cdot2\cdot3\cdot13\cdot13 $$Which is the same as :
$$ 4056 = 2^{3}\cdot3\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4056 can be written as 2 × 2028. |
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| 2028 can be written as 2 × 1014. |
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| 1014 can be written as 2 × 507. |
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| 507 can be written as 3 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 4056. |
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