Can someone please help me with this? Factor the expression 64x+16 using the GCF

Pls? I rly need help

2 Answers
Apr 23, 2018

#16(4x+1)#

Explanation:

#"we require to find the "color(blue)"highest common factor"#
#"of 64 and 16"#

#"consider the factors of these numbers"#

#"factors of 16 "=1,2,4,8" and "color(red)(16)#

#"factors of 64 "=1,2,4,8,color(red)(16),32" and "64#

#"take out the "color(blue)"highest common factor "color(red)(16)#

#rArr64x+16=color(red)(16)(4x+1)larrcolor(blue)"factored form"#

Apr 23, 2018

#64 x + 16 = 16(4 x + 1)#

Explanation:

The greatest common factor of #64 x# and #16# is #16#, because #16# divides #64# evenly, i.e. #64=4\times 16#. There can't be any factor in common bigger than 16. So,

#64 x + 16 = 16(4 x + 1)#.