If a number (dividend) is divisible by any other number (divisor), then the number (divisor) is a factor of that dividend. Here, in the case of 17, it is having only two factors, 1 and itself, since the number 17 is a Prime Number.
Factors of 17: (1, 17)
By identifying numbers that can divide 17 without remainder or numbers that can multiply together to equal the target number, we get factors of 17. If you tried to find numbers that are factors of 17, factors can be found by dividing 17 with numbers lower in value to find the one that will not leave the remainder. The factors are numbers that divide without remainder.
Factors are integer or whole numbers that are multiplied together to generate a certain number. The multiplied integers or whole numbers are factors of the given number. If x is multiplied by y = z, so the z factors are x and y.
If a number is said to be a factor of any other second number, so the second number must be fully divided by the first number without leaving any remainder. For instance, 3 is a factor of 18, i.e. 3 divides 18 giving 6 as the quotient and leaving zero as the remainder. Alternatively, 6 is also a factor of 18, as 3 is given as the division quotient. Therefore, in addition to 2 and 9, 18 has 1, 18, 3, 6 as its factors, and all these numbers divide 24 exactly, leaving no remainder.
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A number that is the combination of a given number and any other natural number is a multiple of a number. In a multiplication table, multiples can be found. The following are multiples of certain numbers:
If you can take a look at various multiples of each number, it will be easy to do your calculations with math problems.
3, 6, 9, 12, 15, 18, 21, and so forth are multiples of 3.
5, 10, 15, 20, 25 are multiples of 5, and so on.
Any multiple of 5 has 0 or 5 as the last digit.
In the examples listed above, say multiples of 2, you can multiply the number 2 by infinite numbers to find the number of multiples "n". Now, for example, let's presume,
3 x 5 = 15
Here, the factors for 15 are 3 and 5,
15 is a multiple of 3 and 5, respectively.
Therefore if X and Y are two numbers, we can conclude that;
If X divides Y, X is a Y factor, both are each other’s multiple.
As one can divide any integer, hence it can be called a common factor of every integer. Any number can be divided by 1, and hence all the numbers are multiples of 1.
The difference between factors and multiples is explained below:
For any number, the exact divisor for those numbers is also called the factors. At the same time, the numbers you get by multiplying it with other numbers will be called multiples.
Factors of a number are finite in numbers, whereas the multiples of a number is infinite.
The factor is found by dividing operations whereas the multiples are multiplication operations.
The factor of a number is always smaller than or equal to the given number whereas in the case of multiples, it is greater than or equal to the given number.
Q1. What is the Smallest Factor of 9?
Here are the factors: 1, 3, and 9. 1 is the smallest factor out of these.
Q2. List Down the Number of Factors of the Number 24.
The factors of the number 12 are 1, 2, 3, 4, 6, 8, 12, and 24.