Alright, let's work through 2696 times 2562 step by step
2696 × 2562 = 2562 × (2696)
+ 2562 × 6 which equals 15372
+ 2562 × 90 resulting in 230580
+ 2562 × 600 which equals 1537200
+ 2562 × 2000 what gives us 5124000

= 6907152
