Factors and Multiples by using Multiplication Facts

Factors and multiples by using multiplication facts are explained here. With the help of this operation we shall learn some other terms.

Consider the following factors and multiples by using multiplication facts: 

(i) 3 × 5 = 15, 

i.e., 3 multiplied by 5 gives the product 15. 

Here, 3 is called the multiplicand, 5 is the multiplier and 15 is the product

In 5 × 3 = 15, 5 is the multiplicand and 3 is the multiplier. 

Thus, in any multiplication fact, multiplicand and multiplier may be interchanged. Both are known as factors. We can say 3 and 5 are the factors of 15. The product 15 may also be given the name of ‘multiple’. Thus, 15 is the multiple of the factors 3 and 5. 

(ii) 1 × 15 = 15. 

Here, 1 and 15 are the factors of multiple 15.

Thus, the multiple 15 has four factors, 1, 3, 5 and 15.


(iii) 1 × 3 × 5 = 15.

It also expresses that 1, 3 and 5 are the factors of 15.


(iv) 4 × 3 = 12,

i.e., 4 multiplied by 3 gives the product 12. We can say 4 and 3 are the factors of multiple 12.

Accordingly, 2 × 2 × 3 = 12, where 2, 2 and 3 are the factors of multiple 12.

also 1 × 2 × 2 × 3 = 12.

So 1, 2, 2 and 3 are the factors of 12.

1 × 2 × 6 = 12, or, 1 × 4 × 3 = 12 shows that 1, 2, 4, 6 are the factors of 12.

1 × 12 = 12

So, 1 and 12 are the factors of 12.

Hence, 1, 2, 3, 4, 6 and 12 are the factors of the multiple 12.

There are no other factors except 1, 2, 3, 4, 6 and 12 of multiple 12.

Any multiple has a definite number of factors.

12 has 6 factors, i.e., 1, 2, 3, 4, 6 and 12.

15 has 4 factors, i.e., 1, 3, 5 and 15.



More explanation:

David has 8 marbles. Let us see in how many ways David can arrange these marbles.

8 marbles in one row

8 Marbles in One Row

× 1 = 8

4 marbles in two rows

4 Marbles in Two Rows

× 2 = 8

2 marbles in four rows

2 Marbles in Four Rows

× 4 = 8

The division facts for each of the multiplication facts are:

8 ÷ 1 = 8

8 ÷ 8 = 1

8 ÷ 2 = 4

8 ÷ 4 = 2

So, 8 is exactly divisible by 1, 2, 4 and 8.Therefore, 1, 2, 4 and 8 are factors of 8. A number is a factor of another number if it is an exact divisor of the number. We can find factors of a number by multiplication or by division method.


How to find the factors with the help of multiplication facts?

Using multiplication facts,

(i) Factor     Factor     Multiple
 

        7    ×    9      =    63

(ii) Factor     Factor     Multiple

         8    ×    4      =      32

(iii) Factor     Factor     Multiple

          6    ×    5      =      30


We learnt that the product of the two numbers is the multiple of each of the numbers.

In other words: each of the numbers is the factor of the multiple.

(i) 7 and 9 are factors of 63

(ii) 8 and 4 are factors of 32

(iii) 6 and 5 are factors of 30

Note:

Any number which can be divided into a bigger number without leaving a remainder is a factor of the bigger number.


● Let us find the factors of 24 by multiplication method.

1 × 24 = 24

2 × 12 = 24

3 × 8 = 24

4 × 6 = 24

1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24


Find all the factors of 64 by multiplication method.

64 = 1 × 64

64 = 2 × 32

64 = 4 × 16

64 = 8 × 8


Hence, all the factors of 64 are 1, 2, 4, 8, 16, 32, 64.

Related Concept

Factors and Multiples by using Multiplication Facts

Factors and Multiples by using Division Facts

Multiples

Properties of Multiples

Examples on Multiples

Factors

Factor Tree Method

Properties of Factors

Examples on Factors

Even and Odd Numbers

Even and Odd Numbers Between 1 and 100

Examples on Even and Odd Numbers








4th Grade Math Activities

From Factors and Multiples by using Multiplication Facts to HOME PAGE




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.



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.




Share this page: What’s this?

Recent Articles

  1. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  2. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  3. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More

  4. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Apr 03, 25 10:22 AM

    What is BODMAS Rule in Math?
    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More

  5. Before and After Video | Math Worksheets on Number | Before and After

    Apr 03, 25 12:44 AM

    before and after number worksheet
    Free math worksheets on numbers before and after help the kids to check how much they are good at numbers. The purpose of this math activity is to help your child to say a number in order and also hel

    Read More