# Explain the relationship between factors and multiples

### Factors and Multiples

Typically, we are dealing with factors and multiples when we are We want to inflate the fractions only as far as needed, so that they have the. The fact is that there is a big difference in factors and multiples of a number. A factor of a number is defined as a number that evenly divides given number and. Factors are either composite numbers or prime numbers (except that 0 and 1 are neither prime nor composite). The number 12 is a multiple of 3, because it can.

While; for a multiple, each number is a multiple of itself and 0 is a multiple of every number.

### Difference Between Factors and Multiples (with Example and Comparison Chart) - Key Differences

Any number may be a multiple and a factor both. How To Find The methods of finding factors and multiples of a number are quite simple.

Let us learn them in sections below: How to Find Factors In order to find factors of a number, one needs to find all the numbers that evenly divide that given number. For doing so, start with 1 which will essentially be the factor of any number. Now, check for 2 if it divides the given number evenly?

If yes, then 2 is a factor of given number; otherwise not.

Now, go ahead and check for 3 and so on. They may be asked to identify pairs of factors of two-digit numbers. The answer to this is 3 x 20 and 4 x They may also need to find common multiples. The three numbers could be: In Year 5, children will continue to carry out tasks involving factors and multiples and this will extend to learning about prime numbers and square numbers.

Example investigations for Year 6 children could be: Two factors of 90 are added together to make another factor of What are the two factors?

I am a multiple of 4. I am between 25 and The resultant number, after the multiplication of the given numbers, is the multiple of the given number.

Key Differences Between Factors and Multiples The points given below are substantial so far as the differences between factors and multiples are concerned: Factors are described as a list of numbers, each of which, completely divides a given number, i.

On the other hand, multiples can be understood as the list of numbers which are actually the products of that particular number.

## Difference Between Factors and Multiples

Factor is a number that can be multiplied with a particular number to obtain another number. Conversely, multiples are the product, which is reached after multiplying the number by an integer.

**Learning Factors Made Easy - Maths For Kids - Periwinkle**

The number of factors of a particular number is limited, but the number of multiples of a given number is endless.

Factors are either less than or equal to the specific number. Unlike multiples, which are greater than or equal to the given number.