Dear Liz: My credit scores are good, but I was wondering if there is a way to bring your scores to 800 or more if your income isn’t that high. I always pay my bills on time and my credit card off each month. In the last two years, I took out a small loan to pay off a car, then paid off furniture and now am paying on six new windows for my home.

My FICO scores run from 747 to 781. I’m told the reason they aren’t higher is that the number of accounts I have is too low and that my credit report shows no recent nonmortgage installment loans or “insufficient recent information” about such loans. I’m pleased that my scores are that high, but they say you get the best low-interest loans with a score over 800.

Answer: It’s not true that you need FICO scores of 800 or above to get the best deals. The best rates and terms typically are available once your scores are above 760 or so on the usual 300-to-850 FICO scale. Some lenders set the bar lower, to 740, 720 or even less. Also, your income is not a direct factor in your credit scores — although having a higher income can lead to creditors granting larger lines of credit, which could favorably impact your scores.

If what you’re after is bragging rights, there are some ways to boost good scores even higher.

The easiest may be to make more frequent payments on your credit card to reduce your credit utilization, or the amount of available credit you’re using. If your issuer reports your statement balance each month to the credit bureaus, paying off what you owe a few days before the statement closing date will reduce your apparent credit utilization. Just remember to pay off any remaining balance once you get your bill.

Another approach would be to apply for another credit card and spread your purchases between the two cards, which also can lower your credit utilization. Either way, continue to pay your cards in full, since there’s no credit scoring advantage to carrying a balance.

Taking out another installment loan could boost your scores, but it’s not smart to borrow money you don’t need if your scores are already good.

Remember, too, that there are many different credit scoring formulas. There are different versions and generations of the FICO score as well as FICO rivals such as VantageScore.

If you achieve an 800 with one type of score, you might not with another — and whatever score you achieve, you might not keep for long. Your scores fluctuate all the time, based on the changing information in your credit files.

It’s worth the effort to improve bad or mediocre scores because those can cost you in many ways such as higher interest rates, higher insurance premiums, bigger utility deposits and fewer options for cellphone service. Improving already good scores doesn’t offer much if any payoff, so it’s usually not worth incurring extra costs to do so.