87×31

87 × 31 is a multiplication problem involving two positive integers, 87 and 31. The product of these numbers is 2 697. This result can be derived through standard multiplication algorithms, such as the column method, or by using distributive properties: 87 × 31 = 87 × (30 + 1) = (87 × 30) + (87 × 1) = 2 610 + 87 = 2 697.

The calculation is often used as a basic example in arithmetic education to illustrate the application of the distributive law and the handling of multi‑digit multiplication. In number theory, 2 697 is a composite integer; its prime factorization is 3 × 3 × 13 × 23, showing that it is divisible by 3, 9, 13, and 23. The number is odd, not a perfect square, and its digit sum (2 + 6 + 9 + 7 = 24) is divisible by 3, confirming its divisibility by 3.

In practical contexts, the product may arise in problems such as determining the total number of items when arranging 87 groups of 31 objects each, or vice versa. The result, 2 697, can also be expressed in other numeral systems, for example as 0xA89 in hexadecimal or 10100111001 in binary.