what numbers can both be divided by 11 and 22?

1 answer

To find numbers that can be divided by both 11 and 22, we first note that 22 is a multiple of 11. This means that any number that is divisible by 22 will also be divisible by 11.

In general, the numbers that can be evenly divided by both 11 and 22 are the multiples of 22. The multiples of 22 can be expressed as:

\[ 22n \]

where \( n \) is any integer (positive, negative, or zero).

Some examples of multiples of 22 include:

  • When \( n = 0 \): \( 22 \times 0 = 0 \)
  • When \( n = 1 \): \( 22 \times 1 = 22 \)
  • When \( n = 2 \): \( 22 \times 2 = 44 \)
  • When \( n = 3 \): \( 22 \times 3 = 66 \)
  • When \( n = -1 \): \( 22 \times -1 = -22 \)

So, any multiple of 22 (including positive, negative, and zero) can be divided by both 11 and 22. Examples include 0, 22, 44, 66, -22, -44, and so on.