Which Number is a Factor of 20 but Not a Multiple of 2?

In mathematics, a factor of a number is a whole number that divides evenly into that number. A multiple of a number is a number that is a product of that number and another whole number.

Understanding Factors and Multiples

Factor: A factor of 20 is a number that divides 20 evenly, without leaving a remainder.
Multiple: A multiple of 2 is a number that can be written as 2 × n, where n is any whole number.

Finding a Factor of 20 but Not a Multiple of 2

To find a number that is a factor of 20 but not a multiple of 2, we need to identify factors of 20 that are not multiples of 2.

The factors of 20 are:

Of these factors, 1, 5, and 10 are not multiples of 2 (because 2 does not divide into them evenly). Therefore, any of these numbers (1, 5, or 10) is a factor of 20 but not a multiple of 2.

Significance and Examples

Understanding factors and multiples is important in various mathematical applications, such as:

Finding common multiples and factors
Simplifying fractions
Solving linear equations

For example, knowing that 5 is a factor of 20 but not a multiple of 2 can help us solve the equation:

5x = 20

By dividing both sides by 5, we get:

x = 4

Therefore, x is a multiple of 2 but not a factor of 20.

Conclusion

The number that is a factor of 20 but not a multiple of 2 is any of the following: 1, 5, or 10. Understanding the concept of factors and multiples is crucial for various mathematical applications.

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