Multiples, Factors and Prime Factors

Multiple

The result of multiplying a number by an integer.

Factor

A number that divides another number without leaving a remainder.

Prime Factor

Prime numbers that can be multiplied together to yield the original number.

Factors of 24

1, 2, 3, 4, 6, 8, 12, and 24.

Prime Factorization of 24

2 x 2 x 2 x 3 or 2^3 x 3^1.

Factor Tree Method

A method to break a number down into its prime factors.

Prime Factorization of 420

2 x 2 x 3 x 5 x 7 or 2^2 x 3^1 x 5^1 x 7^1.

Exam Practice Question Q1a

Find one number that is a multiple of 2, 3, and 4: 24.

Exam Practice Question Q1b

Find one number that is a multiple of 3 and a factor of 36: 12.

Missing Number in Q2

In the equation 14 × 30 = 7 x _ × 14, the missing number is 60.

Prime Factorization of 990

2 × 3^2 × 5 × 11.