Answer :
A number has 2 as a factor if it is even; that is, if its last digit is one of 0, 2, 4, 6, or 8. Let's analyze each option:
1. For the number [tex]$76$[/tex], the last digit is [tex]$6$[/tex]. Since [tex]$6$[/tex] is even, [tex]$76$[/tex] is even and thus has [tex]$2$[/tex] as a factor.
2. For the number [tex]$631$[/tex], the last digit is [tex]$1$[/tex]. Since [tex]$1$[/tex] is odd, [tex]$631$[/tex] is odd and does not have [tex]$2$[/tex] as a factor.
3. For the number [tex]$209$[/tex], the last digit is [tex]$9$[/tex]. Since [tex]$9$[/tex] is odd, [tex]$209$[/tex] is odd and does not have [tex]$2$[/tex] as a factor.
4. For the number [tex]$309$[/tex], the last digit is [tex]$9$[/tex]. Since [tex]$9$[/tex] is odd, [tex]$309$[/tex] is odd and does not have [tex]$2$[/tex] as a factor.
5. For the number [tex]$224$[/tex], the last digit is [tex]$4$[/tex]. Since [tex]$4$[/tex] is even, [tex]$224$[/tex] is even and thus has [tex]$2$[/tex] as a factor.
6. For the number [tex]$510$[/tex], the last digit is [tex]$0$[/tex]. Since [tex]$0$[/tex] is even, [tex]$510$[/tex] is even and thus has [tex]$2$[/tex] as a factor.
Thus, the numbers that have [tex]$2$[/tex] as a factor are:
[tex]$$76,\quad 224,\quad 510.$$[/tex]
1. For the number [tex]$76$[/tex], the last digit is [tex]$6$[/tex]. Since [tex]$6$[/tex] is even, [tex]$76$[/tex] is even and thus has [tex]$2$[/tex] as a factor.
2. For the number [tex]$631$[/tex], the last digit is [tex]$1$[/tex]. Since [tex]$1$[/tex] is odd, [tex]$631$[/tex] is odd and does not have [tex]$2$[/tex] as a factor.
3. For the number [tex]$209$[/tex], the last digit is [tex]$9$[/tex]. Since [tex]$9$[/tex] is odd, [tex]$209$[/tex] is odd and does not have [tex]$2$[/tex] as a factor.
4. For the number [tex]$309$[/tex], the last digit is [tex]$9$[/tex]. Since [tex]$9$[/tex] is odd, [tex]$309$[/tex] is odd and does not have [tex]$2$[/tex] as a factor.
5. For the number [tex]$224$[/tex], the last digit is [tex]$4$[/tex]. Since [tex]$4$[/tex] is even, [tex]$224$[/tex] is even and thus has [tex]$2$[/tex] as a factor.
6. For the number [tex]$510$[/tex], the last digit is [tex]$0$[/tex]. Since [tex]$0$[/tex] is even, [tex]$510$[/tex] is even and thus has [tex]$2$[/tex] as a factor.
Thus, the numbers that have [tex]$2$[/tex] as a factor are:
[tex]$$76,\quad 224,\quad 510.$$[/tex]
