Alright, let's work through 3553 times 737 step by step
3553 × 737 = 737 × (3553)
+ 737 × 3 producing 2211
+ 737 × 50 which equals 36850
+ 737 × 500 yielding 368500
+ 737 × 3000 that equals 2211000

= 2618561
