Distributive Property of Multiplication

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products of that number and each addend. For example, a(b + c) = ab + ac.

You can factor out the common factor: 5 x (4 + 2) = 5 x 6 = 30.

Factoring means to break down a number into its multiplicative components. For example, 12 can be factored into 3 x 4.

You can factor out the 3: 3 x (5 + 2) = 3 x 7 = 21.

For example, 6 x (2 + 3) = 6 x 2 + 6 x 3 = 12 + 18 = 30.

You can factor out the 4: (5 + 3) x 4 = 8 x 4 = 32.

You can factor out the 4: 4 x (5 + 1) = 4 x 6 = 24.

Factor out the 5: 5 x (4 + 1) = 5 x 5 = 25.

You can factor out the 4: 4 x (5 + 2) = 4 x 7 = 28.

You can combine like terms: 2 x (5 x 4) = 10 x 4 = 40.