1. The problem asks to square the number 267. 2. Squaring a number means multiplying the number by itself: $$267^2 = 267 \times 267$$. 3. Calculate the product: $$267 \times 267 = 267 \times (200 + 60 + 7) = 267 \times 200 + 267 \times 60 + 267 \times 7$$ 4. Compute each term: $$267 \times 200 = 53400$$ $$267 \times 60 = 16020$$ $$267 \times 7 = 1869$$ 5. Add the results: $$53400 + 16020 + 1869 = 71289$$ 6. Therefore, the square of 267 is $$71289$$.