31×17

31×17 is the product of the integers 31 and 17, yielding 527 in decimal. This result follows from basic multiplication properties and is commutative, since 31×17 = 17×31.

The calculation can be performed in several straightforward ways. One approach is 31×17 = 31×(10 + 7) = 310 + 217 = 527. Another is 31×17 = 31×20 − 31×3 = 620 − 93 = 527. Distributive and place-value methods underlie these similar results.

Mathematically, 31 and 17 are both prime numbers, so their product 527 has the prime factorization 17×31. This makes 527 a semiprime, a product of exactly two (not necessarily distinct) prime numbers. In other bases, 527 can be represented as binary 1000001111, octal 1017, and hexadecimal 0x20F.

In broader use, 527 is a three-digit integer and can appear in elementary arithmetic examples, modular arithmetic demonstrations, or as a simple reference number in educational contexts. Its properties are typical of products of two primes and illustrate how multiplication distributes over addition and how numbers can be translated between numeral systems.