Find the prime factorization of number 2772.
Answer
The prime factorization of 2772 is:
$$ 2772 = 2\cdot2\cdot3\cdot3\cdot7\cdot11 $$Which is the same as :
$$ 2772 = 2^{2}\cdot3^{2}\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2772 can be written as 2 × 1386. |
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| 1386 can be written as 2 × 693. |
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| 693 can be written as 3 × 231. |
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| 231 can be written as 3 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 2772. |
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