What are the partial products of 28 times 14?

The partial products of 28 x 14 are 112 and 280.

28 = 8 + 20

⇒ 28 x 14 = 8 x 14 + 20 x 14

= 112 + 280

14 = 4 + 10

⇒ 28 x 14 = 28 x 4 + 28 x 10

= 112 + 280

The partial products are the same in the different splits as 28 = 2 x 14.

If the numbers had been, say, 17 x 28 then:

28 = 8 + 20

⇒ 28 x 17 = 8 x 17 + 20 x 17

= 136 + 340

17 = 7 + 10

⇒ 28 x 17 = 28 x 7 + 28 x 10

= 196 + 280