What is the difference between Factors and Multiples?

Math is a subject that all students must learn, especially in grade school. Math is important to learn because it helps understand many aspects of life, including money and the ability to count. There are many variables of math that a person learning the subject will come across. Two of them include multiples and factors.

Factors are numbers that, when multiplied together and they will form one number. An example of this is with the number 16. Factors of this number are 1, 2, 4, 8, and 16 because, in various sequences, when these numbers are multiplied together, they form 16. Multiples are the product of the number that is factored or divided. 16 is also an example of this.

Factors and multiples are common terms in mathematics with different meanings. The word ‘factors’ refers to a list of numbers that do not leave any remainder after they have been used to divide a given number. For instance, you can easily divide 16 by 4 without having any remainder. This means 4 is one of the multiples of 16. Another factor of 16 is 8, meaning you can divide 16 by 8 to get a whole number that is 2. Other factors of 16 include 1, 2, and 16 itself.

Factors are also two numbers you can multiply together to get a particular number. It is important to note that every number has at least two factors (1 and the number itself).

On the other hand, multiple is the number you get when you multiply two whole numbers. For instance, 16 is a multiple of 4 and 4. This shows that you can multiply two factors to get multiple.

The two terms, multiples and factors, are lessons learned from grade school mathematics. Both terms are the prerequisite lessons of factoring out and factorization, which are also like prerequisites for advanced algebra. Factors consist of the multiplicand, also known as the divisor or the dividend and the multiplier.

For example, the factors of the product 16: Products of 16 include 1 X 16, 2 X 8, and 4 X 4. Therefore the factors of 16 would include 1, 2, 4, 8, 16 itself. 1 and 16, 2, and 8 are the pairing factors of 16. Its prime factor is 2.

While multiples, on the other hand, are basically products or the results, which is the number from which factors can be either multiplied or divided. An example of multiples is number 16. 1X16 = 16, 2X16 = 32, 3X16 = 48, 4X16 = 64. 16 is, however, the products of the factors.

Factors and multiples are terms in mathematics, especially in grade school mathematics. Terms like these two and others are very important because they form a very strong foundation for those mathematical concepts that have become part of us. Factors are numbers that are multiplied to form a single number.

The multiplier and the multiplicand are simply the factors. For example, 1, 2, 3, 4, 6, and 12 are the factors of 12. When you multiple 2 (the multiplier) and 6 (the multiplicand), what you will get is 12. On the other hand, multiples are whole numbers that can be divided by other numbers without any remainder. They are also whole numbers that can be gotten when you multiply their factors.

From the example I used earlier, 12 is the multiple of that example. It can also be divided by any of its factors without any remainder. Invariably, a multiple is gotten by multiply its factors.