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Divisibility of natural numbers

The natural numbers are a subset of the integers.

What are the natural numbers?

What are the natural numbers?

Natural numbers are positive integers.

See Natural numbers.

Examples of divisibility of 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.