345×7

345×7 is the product of the integers 345 and 7 in base-10 arithmetic. The result is 2415.

The calculation can be shown in a few ways. Computed by standard long multiplication, 345×7 equals 2415. It can also be obtained by the distributive property: (300+40+5)×7 = 2100+280+35 = 2415. A quick mental check uses (350−5)×7 = 2450−35 = 2415.

Prime factorization provides another view. 345 = 3×5×23, so 345×7 = 3×5×7×23 = 2415. Therefore, 2415 is divisible by 3, 5, 7, and 23, and by combinations such as 15, 21, 35, or 105.

Contextually, 345×7 serves as a straightforward example of multiplication in arithmetic education, illustrating the distributive property and the relation between a factorization of the multiplicand and the product. As a specific integer, 2415 is used less frequently beyond basic arithmetic demonstrations but remains valid in number theory exercises involving divisibility and factorization.