Cervantes appeals the district court's imposition of sentence following his conviction on a guilty plea of being a deported alien found in the United States in violation of 18 U.S.C. Sec. 3231. He was sentenced at the upper end of the guideline range because of his criminal background. He argues that his sentence was imposed in violation of law because the district court failed to exercise its discretion as required by 18 U.S.C. Sec. 3553(a). Specifically, he argues that the district court's citation of the defendant's criminal history as its reason for choosing the top of the applicable guideline range indicates that the district court failed to consider all the factors in 18 U.S.C. Sec. 3553(a). Because we do not believe that the district court's statement indicates that it failed to exercise its discretion, we affirm.

* The presentence report calculated a base offense level of eight, reduced by two levels for acceptance of responsibility, resulting in a guideline range of 9 to 15 months. Cervantes's criminal history put him in Category V. The probation officer recommended an upward departure to 24 months in custody because of Cervantes's extensive criminal background. The district court declined to depart upward, but imposed a sentence of 15 months "because of the criminal background."

While lawful sentences within the applicable guideline range are not appealable, United States v. Pelayo-Bautista, 907 F.2d 99 (9th Cir.1990), sentences that are unlawfully imposed are appealable, 18 U.S.C. Sec. 3742(a)(1).1 Cervantes argues that his sentence was imposed in violation of law because the district court failed to exercise its discretion in imposing sentence, contrary to Sec. 3553(a) which requires the court to consider a variety of factors in determining the particular sentence to be imposed.2

We agree that district courts have discretion to sentence within the guideline range, that they must consider the individualized factors set out in Sec. 3553 in exercising that discretion, and that they may receive and consider virtually any information concerning the background, character and conduct of a defendant. 18 U.S.C. Sec. 36613; U.S.S.G. Sec. 1B1.4⁴; cf. United States v. Duarte, 901 F.2d 1498, 1500-01 (9th Cir.1990) (sentencing judge may consider letters about defendant's personal characteristics in selecting point within the range). Because it is a violation of law to fail to exercise discretion, we have jurisdiction to consider this appeal.

On the merits, however, Cervantes has not shown that the district court did in fact fail to consider the factors enumerated in 18 U.S.C. Sec. 3553(a). Cervantes argues that the court's statement indicates that it did not consider the other factors but instead chose the top of the range automatically because of his criminal background. He points out that his criminal background was already factored into the guidelines, so using that as the basis for the sentence indicates that the district court failed to exercise its discretion to distinguish him from other offenders.5

We disagree that the court's statement about criminal background indicates that it failed to exercise its discretion. No reasons need be stated for imposition of sentence at a particular point within the guideline range if the range is less than 24 months. 18 U.S.C. Sec. 3553(c)(1); United States v. Howard, 894 F.2d 1085, 1092 (9th Cir.1990). We assume that the district court knows and applies the law correctly, United States v. Garcia-Garcia, 927 F.2d 489, 490-91 (1991), and therefore considers the factors in 18 U.S.C. Sec. 3553(a). Simply because the court in this case chose to mention one particularly important factor does not mean that it failed to consider the others or that the sentence was imposed in violation of law.

AFFIRMED.