Question
Find the prime factorization of number 3572.
Answer
The prime factorization of 3572 is:
$$ 3572 = 2\cdot2\cdot19\cdot47 $$Which is the same as :
$$ 3572 = 2^{2}\cdot19\cdot47 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3572 can be written as 2 × 1786. |
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| 1786 can be written as 2 × 893. |
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| 893 can be written as 19 × 47. |
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| The end nodes are the prime factors of the number 3572. |
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