SOLUTION: Factoring Intergers factor 140 in to the product of primes. find the GCF for 40, 160, & 72. Round to the nearest tenth.

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Factoring Intergers factor 140 in to the product of primes. find the GCF for 40, 160, & 72. Round to the nearest tenth.      Log On


   



Question 55192: Factoring Intergers
factor 140 in to the product of primes.
find the GCF for 40, 160, & 72.
Round to the nearest tenth.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Factoring Intergers
factor 140 in to the product of primes.
140
:/\
14*10
:/\*/\
(2)*(7)*(2)*(5)
The prime factors of highlight%28140=2%2A2%2A5%2A7%29
:
find the GCF for 40, 160, & 72.
If you can't look at the numbers and tell what divides evenly into all three, then break them up into their prime factors. The GCF would be all of the prime factors that all three numbers have:
40=highlight%282%2A2%2A2%29%2A5
40
:/\
(5)*8
..../\
....4*(2)
.../\
..(2)*(2)
--
160=highlight%282%2A2%2A2%29%2A2%2A2%2A5
160
:/\
10*16
/\****/\
(2)(5)4*4
,,,,,/\*/\
,,,,(2)(2)*(2)(2)
--
72=highlight%282%2A2%2A2%29%2A3%2A3
72
/\
9***8
/\***/\
(3)(3)(2)*4
,,,,,,,,,,/\
,,,,,,,,,(2)(2)
40,160, and 72 all have 2*2*2=8 in common. Therefore highlight%288%29 is their GCF.
Happy Calculating!!!