What is the Difference Between Factors and Multiples?
🆚 Go to Comparative Table 🆚The main difference between factors and multiples lies in their definitions and the operations used to find them:
- Factors are numbers that divide a given number without leaving a remainder. They are less than or equal to the number itself, and there are a finite number of factors for a given number. For example, the factors of 8 are 1, 2, and 4.
- Multiples are the numbers obtained as a product of a given number and integers. They are always greater than or equal to the given number, and there are an infinite number of multiples for a given number. Every number is a multiple of 1. For example, the multiples of 8 are 8, 16, 24, 32, etc.
In summary:
- Factors divide a number without leaving a remainder.
- Multiples are the result of multiplying a number by integers.
- Factors are less than or equal to the given number.
- Multiples are greater than or equal to the given number.
- There are a finite number of factors for a given number.
- There are an infinite number of multiples for a given number.
On this pageWhat is the Difference Between Factors and Multiples? Comparative Table: Factors vs Multiples
Comparative Table: Factors vs Multiples
Here is a table highlighting the differences between factors and multiples:
Factors | Multiples |
---|---|
Factors are numbers that divide into a given number exactly, i.e., without leaving a remainder | Multiples are numbers that result from multiplying a given number by other integers |
Factors are always positive integers | Multiples can be any number, including fractions and decimals |
There are a limited number of factors for a given number | There are infinitely many multiples for a given number |
To find factors, start with 1 and then test if the number divides other numbers evenly | To find multiples, multiply the given number by the integers |
Factors can be found in pairs, as two factors multiply to make another number | Multiples are found in a sequence, as a given number is multiplied by the integers |
For example, the factors of 18 are 1, 2, 3, 6, and 9, while its multiples are 18, 36, 54, 72, 90, and so on.
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