Odd numbers leave a remainder of 1 when divided by 2, even numbers do not leave a remainder when divided by 2. Triangle numbers can be arranged in a triangular shape. Rectangle numbers can be arranged in a rectangular shape like 2, 6, 12, 20. Square numbers are formed by multiplying a whole number by itself like 4, 9, 16. Cubic numbers are formed by multiplying a whole number by itself three times.

1. Odd and Even numbers
Odd numbers are numbers which leave a remainder when
divided by 2 and
Even numbers are numbers which do not a remainder when
divided by 2

2. Triangle Numbers
These are numbers that can be arranged in the
shape of a triangle

3. Rectangle Numbers
These are numbers that can be arranged in the
shape of a triangle
2 6 12 20

4. Square Numbers
These are numbers that are formed when
multiplying a whole number by itself

5. Cubic Numbers
These are numbers that are formed when
multiplying a whole number by itself three
times