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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 |
