Multiplying Multiples of Numbers Together
To multiply multiples of numbers togethers, it is sometimes
easier to use the square of the base number and the factor within
the other number.
Example:
13 Ã— 26 =
Solution:
Notice that 26 is a multiple of 13 and, in fact, 26 = 2(13).
Therefore, 13 Ã— 26 = 13 Ã— (13 Ã— 2) = 13^{ 2} Ã— 2.
Knowing that 13^{ 2} = 169, you can easily multiply
169 Ã— 2 = 338.
Answer:
13 Ã— 26 = 338.
Example:
34 Ã— 51 =
Solution:
This problem is a little different from the first since 51 is
not a multiple of 34. However, both 34 and 51 are multiples of
17. Therefore, 34 Ã— 51 = (17 Ã— 2) Ã— (17 Ã— 3) = 17^{ 2}
Ã— 2 Ã— 3 = 17^{ 2} Ã— 6. Multiplying this out, we get
289 Ã— 6 = 1734.
Answer:
34 Ã— 51 = 1734.
