Understanding Multiples of 15

Oct 13, 2025 by vinooalluri.com 37 views

Understanding Multiples of 15

In mathematics, a multiple of a number is the product of that number and an integer. For example, the multiples of 5 are 5, 10, 15, 20, and so on. To determine if a number is a multiple of 15, we need to check if it can be divided by 15 without leaving a remainder.

What is a Multiple of 15?

A multiple of 15 is any number that can be expressed as the product of 15 and an integer. For example, 15, 30, 45, 60, and so on are all multiples of 15.

Analyzing the Options

Now, let's analyze the options given in the problem:

A. 3

Is 3 a multiple of 15?
- No, 3 is not a multiple of 15 because it cannot be divided by 15 without leaving a remainder.
- Why?
  - 15 is a multiple of 3, but 3 is not a multiple of 15.

B. 5

Is 5 a multiple of 15?
- No, 5 is not a multiple of 15 because it cannot be divided by 15 without leaving a remainder.
- Why?
  - 15 is a multiple of 5, but 5 is not a multiple of 15.

C. 20

Is 20 a multiple of 15?
- Yes, 20 is a multiple of 15 because it can be divided by 15 without leaving a remainder.
- Why?
  - 20 = 15 × 1 + 5 (leaves a remainder)
  - 20 = 15 × 1 (no remainder)

Conclusion

Based on the analysis, the correct answer is C. 20. This is because 20 can be divided by 15 without leaving a remainder, making it a multiple of 15.

Key Takeaways

A multiple of a number is the product of that number and an integer.
To determine if a number is a multiple of 15, we need to check if it can be divided by 15 without leaving a remainder.
20 is a multiple of 15 because it can be divided by 15 without leaving a remainder.

Practice Problems

Which of the following numbers is a multiple of 12?
- A. 3
- B. 5
- C. 24
Which of the following numbers is a multiple of 9?
- A. 3
- B. 6
- C. 18

Answer Key

C. 24
C. 18
Frequently Asked Questions (FAQs) About Multiples of 15 ===========================================================

Q: What is a multiple of 15?

A: A multiple of 15 is any number that can be expressed as the product of 15 and an integer. For example, 15, 30, 45, 60, and so on are all multiples of 15.

Q: How do I determine if a number is a multiple of 15?

A: To determine if a number is a multiple of 15, you need to check if it can be divided by 15 without leaving a remainder. You can use long division or a calculator to check if the number is a multiple of 15.

Q: What are some examples of multiples of 15?

A: Some examples of multiples of 15 include:

Q: Can I use a calculator to find multiples of 15?

A: Yes, you can use a calculator to find multiples of 15. Simply divide the number by 15 and check if the remainder is 0. If the remainder is 0, then the number is a multiple of 15.

Q: How do I find the least common multiple (LCM) of two numbers?

A: To find the LCM of two numbers, you need to list the multiples of each number and find the smallest multiple that is common to both lists. For example, to find the LCM of 15 and 20, you would list the multiples of each number and find the smallest multiple that is common to both lists.

Q: What is the relationship between multiples of 15 and factors of 15?

A: The factors of 15 are the numbers that can divide 15 without leaving a remainder. The multiples of 15 are the numbers that can be expressed as the product of 15 and an integer. For example, the factors of 15 are 1, 3, 5, and 15, while the multiples of 15 are 15, 30, 45, 60, and so on.

Q: Can I use a formula to find multiples of 15?

A: Yes, you can use a formula to find multiples of 15. The formula is:

Multiple of 15 = 15 × n

where n is an integer.

Q: How do I use the formula to find multiples of 15?

A: To use the formula, simply substitute the value of n into the formula and calculate the result. For example, to find the multiple of 15 that is 5 times 15, you would substitute n = 5 into the formula and calculate the result.

Q: What are some real-world applications of multiples of 15?

A: Multiples of 15 have many real-world applications, including:

Time: There are 15 minutes in a quarter of an hour.
Money: There are 15 cents in a nickel.
Measurement: There are 15 degrees in a quarter of a circle.

Conclusion

Multiples of 15 are an important concept in mathematics that has many real-world applications. By understanding how to find multiples of 15, you can solve a wide range of problems and make informed decisions in your daily life.

Practice Problems

Which of the following numbers is a multiple of 15?
- A. 3
- B. 5
- C. 20
What is the least common multiple (LCM) of 15 and 20?
How do you find the LCM of two numbers?

Answer Key

C. 20
60
List the multiples of each number and find the smallest multiple that is common to both lists.