List the factors of 15

List the factors of 15. List the multiples through 15 of each factor

The Correct Answer and Explanation is :

Factors of 15

The factors of a number are the integers that can be multiplied together to produce that number. For 15, the factors are:

1. 1
2. 3
3. 5
4. 15

Multiples of Each Factor (up to 15)

Now let’s list the multiples of each factor, focusing on multiples through 15.

1. Multiples of 1:

• 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

1. Multiples of 3:

• 3, 6, 9, 12, 15

1. Multiples of 5:

• 5, 10, 15

1. Multiples of 15:

• 15

Explanation

Factors and multiples are foundational concepts in mathematics that help in understanding numbers’ relationships. Factors of a number are those integers that divide the number without leaving a remainder. For instance, 15 can be divided evenly by 1, 3, 5, and 15, making these its factors.

Multiples, on the other hand, are obtained by multiplying a number by integers. For example, the multiples of 3 up to 15 are derived from multiplying 3 by integers like 1 (3 × 1 = 3), 2 (3 × 2 = 6), and so on, until reaching the highest multiple that does not exceed 15, which is 15 itself (3 × 5 = 15).

Understanding factors and multiples is crucial not only in basic arithmetic but also in more advanced areas like fractions, ratios, and algebra. They serve as building blocks for solving problems, finding least common multiples (LCMs), greatest common divisors (GCDs), and simplifying fractions. This foundational knowledge enhances mathematical literacy and problem-solving skills, fostering a deeper appreciation for the subject.

In summary, the factors of 15 are 1, 3, 5, and 15, while the multiples of these factors up to 15 showcase the diverse relationships between numbers.