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Find the common factors of 2y, 22xy.
  • a)
    2y
  • b)
    2
  • c)
    22
  • d)
    y
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the common factors of 2y, 22xy.a)2yb)2c)22d)yCorrect answer is op...
Understanding Common Factors
To find the common factors of the expressions 2y and 22xy, we need to break down each expression into its factors.
Factors of 2y
- The factors of 2y are:
- 2
- y
Factors of 22xy
- The factors of 22xy are:
- 22
- x
- y
Finding Common Factors
Next, we compare the factors of both expressions:
- From 2y:
- 2
- y
- From 22xy:
- 22
- x
- y
The common factors between these two sets are:
- The number "2" appears in both, as 2 is a factor of 22.
- The variable "y" appears in both expressions.
Listing the Common Factors
- The common factors are:
- 2
- y
Among the options given:
- a) 2y
- b) 2
- c) 22
- d) y
The common factor that can be seen in both expressions is option a) 2y, as it represents a product of the common factors 2 and y.
Conclusion
Thus, option a) 2y is indeed the correct answer because it encompasses the common factors of both expressions, which are 2 and y.
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Community Answer
Find the common factors of 2y, 22xy.a)2yb)2c)22d)yCorrect answer is op...
To find the common factors of 2y and 22xy, we break down each term into its numerical and variable components:
  • The numerical coefficients are 2 and 22. Their greatest common factor (GCF) is 2.
  • The variables in both terms include y; there's no common x since it's only present in the second term.
Combining these, the greatest common factor is 2y.
Therefore, the correct answer is A.
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