What are the divisors of a number?

The divisors (or factors) of a positive integer are the integers that evenly divide it. For example, the divisors of 28 are 1, 2, 4, 7, 14 and 28. Of course 28 is also divisible by the negative of each of these, but by “divisors” we usually mean the positive divisors.

For any natural number N, the divisors (also known as factors) are Those numbers that divide the number N without leaving a remainder. For example, Divisors of 15 are 1, 3, 5, 15. All divisors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

Example: 4 has for divisors 2 and 1. And 2+1=3 inferior to 4, so 4 is a deficient number.

A divisor, also called a factor, of a number is A number which divides (written ). For integers, only positive divisors are usually considered, though obviously the negative of any positive divisor is itself a divisor. A list of (positive) divisors of a given integer.

36 (number)

The divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

Divisibility by Six. A natural number is divisible by 6 If and only if it is divisible by both 2 and by 3. To determine if a natural number is divisible by 6 requires one to know the “divisibility by 2 rule” and the “divisibility by 3 rule”. The natural number 918 ends in an even number (8).

The Integers 1 to 100

A Divisor is a Number that Divides the Other Number in the Calculation. For example: when you divide 28 by 7, the number 7 will be considered as a divisor, as 7 is dividing the number 28 which is a dividend.

Interactive Questions

1 to 100

The divisors of a number other than 1 and the number itself are called the factors of that number. Let us consider the table given below. In the above table, let us consider the number 42. Divisors of 42 are 1, 2, 3, 6, 7, 14, 21, 42.

The divisors (or factors) of a positive integer are the integers that evenly divide it. For example, the divisors of 28 are 1, 2, 4, 7, 14 and 28.

Factors of 1728 in Pairs

1. 1 × 1728 = (1, 1728)
2. 2 × 864 = (2, 864)
3. 3 × 576 = (3, 576)
4. 4 × 432 = (4, 432)
5. 6 × 288 = (6, 288)
6. 8 × 216 = (8, 216)
7. 9 × 192 = (9, 192)
8. 12 × 144 = (12, 144)

The factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400 And factors of 622 are 1, 2, 311, 622.

1 and −1 divide (are divisors of) every integer. Every integer (and its negation) is a divisor of itself. Integers divisible by 2 are called even, and integers not divisible by 2 are called odd. 1, −1, n and −n are known as the trivial divisors of n.

Here is the beginning list of numbers divisible by 8, starting with the lowest number which is 8 itself: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, etc.

Given that a number is divisible by 12. Factors of 12 are 1, 2,3,4,6, and 12. So the number 12 will be divisible by 1,2,3,4,6 and 12.

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.

Expert-verified answer

The divisors of 60 are 1 , 2 , 3 , 4 , 5 , 6, 10 , 12 , 15 , 20 , 30 , 60. The prime divisors of 60 are 2 , 3 , 5.

1 to 100

The proper divisors of 27 are 1, 3 and 9.