What are factors?

Factors are whole numbers that can be multiplied together to produce another number. For instance, the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

What is a prime number?

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples include 2, 3, 5, and 7.

What is the relationship between factors and multiples?

If a number is a factor of another, then the second number is a multiple of the first. For example, since 4 is a factor of 24, 24 is a multiple of 4.

How do you find the greatest common factor (GCF) of two numbers?

The GCF is the largest number that divides both numbers without leaving a remainder. For example, the GCF of 36 and 48 is 12.

What is the least common multiple (LCM)?

The LCM of two numbers is the smallest positive integer that is a multiple of both. For example, the LCM of 4 and 6 is 12.

List the factors of 18.

The factors of 18 are 1, 2, 3, 6, 9, and 18.

What are the prime factors of 30?

The prime factors of 30 are 2, 3, and 5, as these are the prime numbers that multiply to give 30.

If x = 24, what are the pairs of factors that multiply to give x?

The pairs of factors of 24 are (1, 24), (2, 12), (3, 8), and (4, 6). Each pair multiplies to give 24.

How can you determine the GCF of 20 and 8?

First, list the factors: Factors of 20 are 1, 2, 4, 5, 10, 20; Factors of 8 are 1, 2, 4, 8. The GCF is the largest common factor, which is 4.

What is the sum of factors of 12?

The factors of 12 are 1, 2, 3, 4, 6, and 12. The sum is 1 + 2 + 3 + 4 + 6 + 12 = 28.

Find the least common multiple of 5 and 7.

The LCM of 5 and 7 is 35 since it is the smallest number that both can divide without a remainder.

What are the first five multiples of 6?

The first five multiples of 6 are 6, 12, 18, 24, and 30.

How can you quickly find if a number is a factor of another?

Divide the larger number by the smaller number. If the result is a whole number, then the smaller number is a factor.

What are the common factors of 28 and 42?

The factors of 28 are 1, 2, 4, 7, 14, 28; the factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. The common factors are 1, 2, 7, and 14.

Find the GCF of 48 and 180.

The GCF is 12, as it is the highest number that divides both 48 and 180.

What is the greatest common factor of 15 and 25?

The GCF of 15 and 25 is 5, as it is the largest number that divides both without a remainder.

What is the least common multiple of 9 and 12?

The LCM of 9 and 12 is 36, as it is the smallest multiple that both 9 and 12 share.

How do you find the factors of a number like 36?

To find the factors of 36, divide it by whole numbers starting from 1 up to 6  = √36. The factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

What is the relationship between the number of factors and whether a number is prime or composite?

Prime numbers have exactly two factors (1 and themselves), while composite numbers have more than two factors.

Find the first 10 multiples of 3.

The first 10 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30.

If the factors of a number are 1, 2, 4, 5, and 10, what is the number?

The number is 20, as it can be divided evenly by all these factors.