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Factors and multiples worksheets
We have numerous factors and multiple worksheets for the elementary level. It goes hand in hand, but these concepts are different. Let’s get to know deep in concept and the difference between them.
Consider the number 8. All the numbers that divide 8 completely without leaving any remainder are factors of 8. 1, 2, 4, and 8 divide 8 completely, leaving no remainder. So the factors of 8 are 1, 2, 4, and 8.
Note: 1, and 8 are common factors. Thus, all the numbers have 1 and the number itself as common multiples.
So factors are numbers that exactly divide the given number without leaving any remainder. So the number which is to be divided is the ‘dividend’ and it’s exactly divided by another number which is the ‘divisor’ with zero as the remainder. The divisor is the dividend here.
Multiples are again an easy concept to understand. To put it in simple words, the multiple of a number is the product of that number multiplied by another number(an integer).
From the above image the multiples of 10 are 20, 30, 40, 50, and so on.
You can find the multiples of anything. It can either be a positive integer or a negative integer.
Difference:
| S.No | Factors | Multiples |
| 1 | Factors are numbers that completely divide another number | The product obtained by multiplying two numbers is a multiple. |
| 2 | Finite | Infinite |
| 3 | Involves division of numbers | Involves multiplication of numbers |
| 4 | A number is always less than or equal to the number | A number is always greater than or equal to the number |
Factors and multiples worksheets free download pdf
Factors and Factor pairs
Factors and Factor pairs
Factors and Prime Factors
Factors and Prime Factors
Factors on Venn Diagram
Factors on Venn Diagram
Multiples of Numbers
Multiples of Numbers
Multiples and Factors
Multiples and Factors
What Number am I?
What Number am I?
Multiples and Factors - MCQ
Multiples and Factors - MCQ
Students can strengthen their understanding of number relationships with our Factors Worksheets, Multiples Worksheets, Greatest Common Factor Worksheets, Least Common Multiple Worksheets, Prime Factorization Worksheets, Divisibility Rules Worksheets, and Prime and Composite Numbers Worksheets. These related worksheets help students identify factors, recognize multiples, compare number patterns, and solve GCF and LCM problems with confidence.
Related Pre-Algebra Worksheets
Frequently Asked Questions
Factors divide a number exactly, while multiples are obtained by multiplying a number by whole numbers.
Students find factors by division and multiples by repeated multiplication.
Yes. All worksheets are printable PDF files and include answer keys.
Factors and multiples help students solve problems involving division, multiplication, fractions, greatest common factor (GCF), and least common multiple (LCM).
These worksheets are ideal for grades 4–6 and can also be used for review in higher grades.