47×6

47×6 denotes the product of the integers 47 and 6. In base-10 notation, 47×6 equals 282.

The calculation can be shown by the distributive property: (40+7)×6 = 240+42 = 282. Since multiplication is commutative, 6×47 yields the same result.

Numerical properties of the product include its prime factorization, which is 2×3×47. The value 282 is an even number and is divisible by 3 (the sum of its digits, 2+8+2, is 12). The full set of positive divisors is 1, 2, 3, 6, 47, 94, 141, and 282.

In a broader context, 47×6 is a typical example used in elementary arithmetic to illustrate multiplication of a two-digit number by a one-digit number, and it can appear in practical calculations such as area measurements or scaling problems where a dimension of 47 units is multiplied by a factor of 6.

For readers interested in representation beyond base-10, 47 in binary is 101111 and 6 is 110; the product 282 is 100011010 in binary. This example also serves to demonstrate how carry operations arise in binary multiplication.

Overall, 47×6 is a straightforward multiplication with a result of 282, illustrating standard properties of integers and their factorization.