36×10

36×10 is the product of the integers 36 and 10. In base-10 arithmetic, multiplying by 10 is equivalent to appending a zero to the end of a number, so 36×10 equals 360.

Numerical properties include commutativity and factorization. Since multiplication is commutative, 36×10 = 10×36. The prime factorization of the product is obtained from 36 = 2^2 × 3^2 and 10 = 2 × 5, giving 36×10 = 2^3 × 3^2 × 5 = 360.

The value 360 is a round, highly composite number often used as a convenient reference in various systems. It is also notable in geometry as the number of degrees in a full circle.

Applications and interpretation: Multiplying by 10 scales a quantity by a factor of ten, which in decimal notation corresponds to shifting the decimal point one place to the right. In practical terms, if you have 36 items priced at 10 units each, the total cost is 360 units. In arithmetic education, 36×10 is a common example used to illustrate place-value concepts and the effect of multiplying by powers of ten.

Related concepts include base-10 multiplication, place value, and the use of 360 in time and angle measurements.