# Determining Factors and Multiples worksheets

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## COMMON FACTORS AND MULTIPLES WORKSHEETS

We have numerous factors and multiples worksheets for elementary level. Factors and multiples go hand in hand but these concepts are different. Let’s get to know factors and multiples and the difference between them.

#### Factors:

Consider the number 8. All the numbers which 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:

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 between factors and multiples:

 S.No Factors Multiples 1 Factors are numbers that completely divide another number The product obtained by multiplying two numbers is a multiple. 2 Number of factors- finite Number of multiples- Infinite 3 Involves division of numbers Involves multiplication of numbers 4 The factors of a number are always lesser than or equal to the number The multiples of a number are always greater than or equal to the number

We have learnt everything about factors and multiples. It’s time to take practice problems. The below given worksheets are for complete practice. The word problems given here help your kids to think and understand more about these concepts.