Multiples and Factors

We will discuss here about multiples and factors and how they are related to each other.


Factors:

Factors of a number are those numbers which can divide the number exactly.

For example, 1, 2, 3 and 6 are factors of 6. 1, 2 and 4 are factors of 4.

(i) 1 is the factor of any number.

(ii) Any number is factor of itself.

(iii) 0 has infinite factors. In fact all numbers are factors of zero.

(iv) 0 is not factor of any number because division by 0 is meaningless.

Every number has a fixed number of factors.

For example:

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

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

Factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.


Multiples:

A number is called multiple of another if it is exactly divisible by the other number.

For example, 8 is a multiple of 4. 6 is multiple of 3. Multiple of any numbers are infinite.

We know counting numbers they are 1, 2, 3, 4, 5, 6, ...... To get multiples of any number, we multiply counting numbers with that number. For example, to get the list multiples of 3 we need to multiply counting numbers with 3 i.e., 1 × 3 = 3, 2 × 3 = 6, 3 × 3 = 9, 4 × 3 = 12, 5 × 3 = 15 and so on. So, the multiples of 3 are 3, 6, 9, 12, 15 and so on.


Multiples of any numbers are unlimited.

For example:

Multiples of 2 are 2, 4, 6, 8, 10, 12, 14 etc.

Multiples of 5 are 5, 10, 15, 20, 25, 30 etc.

Multiples of 11 are 11, 22, 33, 44, 55, 66 etc.

Multiples of 8 are 8, 16, 24, 32, 40, 48 etc.

Multiples of 14 are 14, 28, 42, 56, 70, 84 etc.


From the above explanation we understand that how multiples and factors are related to each other.

Suppose for example, 12 = 1 × 12, 12 = 2 × 6, 12 = 3 × 4; this shows that each of the number, i.e., 1, 2, 3, 4, 6 and 12 are factors of 12.

In other words, we can say that 12 is a multiple of each one of the numbers 1, 2, 3, 4, 6 and 12.

Thus, when a divisor divides a number and there is zero remainder, then the divisor is called the factor of the dividend and dividend is called the multiple of the divisor.

Multiples and Factors.







5th Grade Numbers Page

5th Grade Math Problems

From Multiples And Factors to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Properties of Multiplication | Multiplicative Identity | Whole Numbers

    Mar 29, 24 09:02 AM

    Properties of Multiplication of Whole Numbers
    There are six properties of multiplication of whole numbers that will help to solve the problems easily. The six properties of multiplication are Closure Property, Commutative Property, Zero Property…

    Read More

  2. Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication

    Mar 28, 24 06:33 PM

    Multiplying by 3-Digit Number
    In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137

    Read More

  3. Multiply a Number by a 2-Digit Number | Multiplying 2-Digit by 2-Digit

    Mar 27, 24 05:21 PM

    Multiply 2-Digit Numbers by a 2-Digit Numbers
    How to multiply a number by a 2-digit number? We shall revise here to multiply 2-digit and 3-digit numbers by a 2-digit number (multiplier) as well as learn another procedure for the multiplication of…

    Read More

  4. Multiplication by 1-digit Number | Multiplying 1-Digit by 4-Digit

    Mar 26, 24 04:14 PM

    Multiplication by 1-digit Number
    How to Multiply by a 1-Digit Number We will learn how to multiply any number by a one-digit number. Multiply 2154 and 4. Solution: Step I: Arrange the numbers vertically. Step II: First multiply the d…

    Read More

  5. Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat

    Mar 25, 24 05:36 PM

    Multiplying 3-Digit Number by 1-Digit Number
    Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb…

    Read More