I just recently sighted in my Remington 700 long range 30-06 and out of the 7 factory loads I tried the best group I could get was 1.25-1.5 inches(moa). Is that considered a a good group for the rifle I have? The rifle is brand new less then 100 rounds through it including the rounds I used to sight in. Will it get more accurate with time? I was excepting a lot better results considering the rifle. I plan to someday get out to 450-500 yards(hopefully), is that acceptable accuracy to do so? I'm really only going to use it for hunting and plinking around but would like it as accurate as I could with factory loads right now. Thanks
There are a LOT of variables here that make the accuracy question tough to answer. But, let me try to step through this a few ways, with a few possibilities:
1) Factory ammo, especially hunting ammo, is not often the best choice for accuracy. For example, my most trusted precision gun is an Accuracy International in .260 Remington, and it wears a Schmidt and Bender scope in a Spuhr one-piece mount. This is a VERY accurate, very expensive setup, and one that I use in competition. The first 20 rounds I put through this rifle were Remington Core-Lokt factory rounds (I always shoot factory ammo first in case I have a problem, then switch to handloads). I was barely holding 2 inches with that crappy ammo. I switched to hand loads shortly thereafter, and shot a 0.5" ten shot group at 100 yards immediately afterwards.
2) If the ammo isn't an issue, the optic could be.
3) If the optic isn't the issue, the shooter could be.
4) If the gun is brand new, it could get a bit better in the first couple hundred rounds. Sometimes I find that new barrels take a few rounds to "smooth out" and shoot well. I don't follow any goofy break-in procedures, and basically just shoot the gun, cleaning it a bit more frequently over the first couple hundred rounds. Once I have a couple hundred rounds down the pipe, I reduce my cleaning frequency dramatically. I clean my .260 Remington about every 125-150 rounds, and my .308 Win about every 175-225 rounds.
Anyway, if you aren't sure about any of the first three variables, take a good hard look at them. Are you running a good quality scope? If so, is the scope properly mounted and torqued to the rifle tightly enough? Were you really shooting good quality match ammo? If not, shoot only match ammo, and don't expect 0.5" groups out of hunting loads. Are you sure you're not the weak spot in the system? This isn't an insult, as many guns can outshoot their owners these days. If you aren't sure on that point, find a trusted friend or great shooter at your range, and have them run the gun for a couple of groups. If they do the same things you did, with the same ammo, and they shoot 0.5" groups, then the problem isn't the rifle!
Finally, when you measure group size how are you doing it? Remember that groups are counted from center-to-center, because different calibers have bullets of different width. So, if you're just plain measuring the outside margins of where the target was cut by the bullet, your groups may be larger than you're giving yourself credit for. For example: If you measure a group and it is 1.25" across, you should be subtracting one bullet width from that measurement to get an accurate group size. In your case (shooting a .30-06) you'd subtract .308" from the group size. In that case a 1.25" group would actually be a 0.942" group.
Also, 1 MOA doesn't equal 1 inch. MOA stands for minute of angle, and it's only by coincidence that this measurement is close to 1 inch at 100 yards.
All in all, most shooters can't shoot 1-1.5" groups at 100 yards. So, don't beat yourself up too bad over that. You're shooting a factory rifle without a high dollar optic, and you're running factory ammo. Keep those points in perspective when you compare yourself to other shooters here on the internet. And, remember, internet groups are always subject to validation (there are an awful lot of "I shoot 0.3" groups all day long" shooters online who can't deliver like that in real life). 
