Question
Find the prime factorization of number 7052.
Answer
The prime factorization of 7052 is:
$$ 7052 = 2\cdot2\cdot41\cdot43 $$Which is the same as :
$$ 7052 = 2^{2}\cdot41\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7052 can be written as 2 × 3526. |
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| 3526 can be written as 2 × 1763. |
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| 1763 can be written as 41 × 43. |
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| The end nodes are the prime factors of the number 7052. |
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