Factoring with the Distributive Property

Factor using the Distributive Property

45+18

• 3(15+6)

• 45+18

• 63

• 9(5+2)

Answer explanation

The GCF of 45 and 18 is 9 so it goes outside of the parenthesis.

9(_+_)

To find the inside number you have to see what you can multiply 9 by to get 45 and to get 18. 9 x 5 = 45 and 9 x 2 = 18

9(5+2)

Factor using the Distributive Property

12+16

• 2(6+8)

• 4

• 4(3-4)

• 4(3+4)

Answer explanation

The GCF of 12 and 16 is 4 so it goes outside of the parenthesis.

4(_-_)

To find the inside number you have to see what you can multiply 4 by to get 12 and to get 16. 4 x 3 = 12 and 4 x 4 = 16

4(3-4)

Factor using the Distributive Property

72+54

• 18(4+3)

• 9(8+6)

• 3(24+18)

• 4(3+4)

Factor using the Distributive Property

99+36

• 11(9+4)

• 9(11+4)

• 3(33+12)

• 3(33-12)

Factor using the Distributive Property

7+21

• 1(7+21)

• 7(1+3)

• 28

• 7

Factor using the Distributive Property

55+22+11

• 11(5-2-1)

• 11

• 1(55+22+11)

• 11(5+2+1)

Answer explanation

The GCF of 45 and 18 is 9 so it goes outside of the parenthesis.

9(_+_)

To find the inside number you have to see what you can multiply 9 by to get 45 and to get 18. 9 x 5 = 45 and 9 x 2 = 18

9(5+2)

Factor using the Distributive Property

42+24

• 2(21+12)

• 3(14+8)

• 6(7+4)

• 66

Factor using the Distributive Property

49+84

• 7(7-11)

• 7(7+12)

• 6(8+14)

• 133

What property are we using in the problem below.

55+22

(11x5)+(11x2)

Answer: 11(5+2)

• Commutative Property of Addition

• Associative Property of Multiplication

• Distributive Property

• Identity Property of Addition

Factor using the Distributive Property

24+20

• 2(12+10)

• 24+20

• 4(6+5)

• 5(6-4)