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Which number is a factor of both 14 and 36?
  • a)
    2
  • b)
    3
  • c)
    7
  • d)
    12
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which number is a factor of both 14 and 36?a)2b)3c)7d)12Correct answer...
2 is the only number that can divide both 14 and 36 evenly.
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Most Upvoted Answer
Which number is a factor of both 14 and 36?a)2b)3c)7d)12Correct answer...
Understanding Factors
Factors are the numbers that divide another number completely without leaving a remainder. To determine which number is a factor of both 14 and 36, we will examine the factors of each number.
Factors of 14
- The factors of 14 are:
- 1
- 2
- 7
- 14
Factors of 36
- The factors of 36 are:
- 1
- 2
- 3
- 4
- 6
- 9
- 12
- 18
- 36
Common Factors
- Now, let's identify the common factors of both 14 and 36:
- The common factors are:
- 1
- 2
Identifying the Correct Answer
- Among the options given:
- a) 2
- b) 3
- c) 7
- d) 12
- The only common factor listed is:
- Option A: 2
Conclusion
Thus, 2 is indeed a factor of both 14 and 36. Understanding factors is essential in number theory and helps in various mathematical applications, including simplifying fractions and solving equations. Always remember to check each number methodically to find the common factors!
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