Find the prime factorization of number 440.
Answer
The prime factorization of 440 is:
$$ 440 = 2\cdot2\cdot2\cdot5\cdot11 $$Which is the same as :
$$ 440 = 2^{3}\cdot5\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 440 can be written as 10 × 44. |
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| 10 can be written as 2 × 5. |
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| 44 can be written as 2 × 22. |
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| 22 can be written as 2 × 11. |
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| The end nodes are the prime factors of the number 440. |
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