The natural numbers are a subset of the integers.

What are the natural numbers?

Natural numbers are positive integers.

See Natural numbers.

Example 1.

14 ÷ 2 = 7

7 is an integer, such that

7 * 2 = 14

hence we say that the natural number 14 is divisible by 7.

See the definition of divisibility in math.

Example 2.

150 ÷ 2 = 75

75 is an integer, such that

75 * 2 = 150

hence we say that the natural number 150 is divisible by 2.

Example 3.

135 ÷ 45 = 3

3 is an integer, such that

45 * 3 = 135

hence we say that the natural number 135 is divisible by 45.

Example 4.

35 ÷ 8 = 4 R 3

35 divided by 8 equals 4 with a remainder of 3

8 * 4 + 3 = 35

The rest of the division is not zero.

Thus, we say that the integer 35 is not exactly divisible by 8.

Example 5.

248 ÷ 4 = 62

62 is an integer.

hence we say that the integer 248 is divisible by 4.