53 squared

53² = 53 × 53 = 2,809

To square a number, multiply it by itself. 53 squared is written 53² or 53^2, and the answer is 2,809.

How to work out 53 squared

Direct: 53 × 53 = 2,809.
From the previous square: 52² = 2,704, and 53² = 2,704 + (2 × 53 − 1) = 2,704 + 105 = 2,809.
Split the number: 53 = 50 + 3, so 53² = 50² + 2 × 50 × 3 + 3² = 2,500 + 300 + 9 = 2,809.

Related

53 cubed = 148,877
The square root of 2,809 is 53, so 2,809 is a perfect square.

Squares near 53

Number	Squared
49	2,401
50	2,500
51	2,601
52	2,704
54	2,916
55	3,025
56	3,136
57	3,249

Need another number? Use the exponent calculator or see all squares and cubes.