I am 16 and I am wondering is it bad to work out this way
Mon
Chest,triseps,biceps abs cardio

Tues
Back,shoulders,legs cardio

Wens
Chest,triseps,biceps abs cardio

Thursday
Back,shoulders,legs cardio

And so on I am also taking protein is this bad to do it like this is it enough time to heal my muscles?

As far as healing the muscles goes you will be OK. The important thing is to giv each muscle group at least 3 days to recover per week.

congras your in luck today man, I'm a formal bodybuilder, your going all wrong. It mainly depends on what you want to, yea if want to lose weight keep that up, if want to get strong spread that out into 3 days a week, if you want to gain muscle 1.5 grams of protein per pound of body weight, ex me 230 muscle lean, x 1.5 grams of protein = 345grams of protein, whey is the best, and contain 23 grams per scope, no about 10 would work for me a day, the cost per month would be about $60, go to walmart they sell whey protein, DO NOT I repeat DO NOT mix with 2% milk, whole milk or powerade( not the clear powerade) the different colors. And do that for about 12 weeks and eat right, plenty sleep, 10 8oz of water a day. Work out like this

mon- shoudler - traps - obliques
tues- biceps - triceps - abs
wed- rest
thur - legs - hamstring - calves
Friday chest - abs
satur - back - abs
Sunday -rest

for 12 weeks
odd number weeks (1,3,5,7,9,11)
even number weeks (2,4,6,8,10,12)

odd week reps
6, 6, 10, 12 every excersie
even week reps
10, 10, 15, 15, 20 every excersice

excersie's ( do on 2 excersice per body part)
shoulder, overhead press dumbells, overhead barebell press, upright row, laterial raises, front laterial rasies
traps - dumbbell shoulder shrugs, barbell shoulder shrugs, behind back shoudler shrugs, bent over dumbbell flys
obliques - pull downs, pull ups
biceps - dumbbell curls, one hand each dumbbell curls, seated dumbbell curls, elbow in curls w/dumbells, barbell curls, preacher curls,
triceps - tri extensions, triceps fly, triceps cable pull down, behind back tricep press, tricep press, dips
abs - crunch, crunch flys, standard sit up, bleacher sit ups, military 6 inches, walker sit up(made my self) hanging leg rasies, cycle sit ups,
legs - leg press, one leg press(do for both legs). Squat standard, squat wide, lungs, step ups,
hamstrings - backward legcurls, same legs. Sissy squats
calves - one leg calve rasie(do for both calves), calve press, calve rasies, donkey calve rasies.
chest - incline press, and fly, declince press and fly, chest press and fly, push ups, declince and incline push ups, bench press. (turn dumbells to you until your wrist faces you, this to develop that line that goes down the chest.
back - pull downs, dumbbell rows, lat pull downs, wide. Wide! Push up. Be sure to target your back. Dead lifts.