Why are there three partial products in 481x352 and only two partial products in 481x302?

352 can be separated by 300, 50, and 2. These numbers can produce 3 partial products.

302 can only produce 2 partial products because the only numbers to consider are 300 and 2. 0 is not considered because any number multiplied by 0 is equal to 0.

481 (400 + 80 + 1)

x352 (300 + 50 + 2)

2 (2 x 1)

160 (2 x 80)

800 (2 x 400) Partial product 1 = 962

50 (50 x 1)

4000 (50 x 80)

20000 (50 x 400) Partial product 2 = 24,050

300 (300 x 1)

24000 (300 x 80)

120000 (300 x 400) Partial product 3 = 144,300

169,312