Question

Factor out the greatest common factor from this expression using the distributive property.

90 + 60

A) 30(3+2)
B) 10(9+6)
C) 15(6+4)
D) 6(15+10)

Answer 1

30(3+2)

Explanation:

90=3(30)=3(3)(10)=3(3)(2)(5)

60=3(20)=3(5)(4)=3(2)(2)(5)

The factors that 90 and 60 have in common are a pair of 3,2, and 5's.

So the biggest factor we can factor out is 3*2*5 which is 30

So 30(3+2)

Leftovers from the prime factorizations above stayed in the ( )