# What is the relationship between a factor and multiple

### Factors and Multiples - Definition, Difference & Examples | [email protected] 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. If it just happens that you can share your sweets out equally, then there is a special mathematical relationship between the number of people and the number of. Factors and multiples are different things. But they both involve multiplication: Factors are what we can multiply to get the number; Multiples are what we get after.

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.

### Finding factors and multiples (video) | Khan Academy

Now, go ahead and check for 3 and so on. The process is to be continued till we reach at the same number, since any number is a factor of itself. Also, itself is its last factor. How to Find Multiples In order to find multiples, one is required to multiply the given number by each integer starting from 1. The results so obtained are the multiples of the given numbers. The list of multiples of a number is endless. Therefore, we may stop this process anytime.

Now 6 is interesting. You could do the same thing. You could try to divide 6 into But if something is divisible by 6, it's definitely going to be divisible by 3 as well because 6 is divisible by 3. So we can immediately rule this one out as well. Because is not divisible by 3, it's also not going to be divisible by 6. And you could try it out if you like. And we could make the same argument for 9.

If something is divisible by 9, it's going to be divisible by 3 because 9 is divisible by 3. Well, it's not divisible by 3, so we're going to rule out 9 as well. So we've ruled out everything. It looks like 14 is our only option, but let's actually verify it.

Let's actually divide 14 into It goes into 15 exactly one time.

Multiples and Factors Class 5

Bring down the 4. And of course, we have no remainder. So 14 goes into exactly 11 times. Or 11 times 14 is Let's do one more.

## Factors and Multiples

Which of the following numbers is a multiple of 14? So now we have 14, and we're trying to think of its multiples. So there's two ways of doing this. You could go number by number and try to divide 14 into them, or we could just try to figure out what all of the multiples of 14 actually are.

• Difference Between Factors and Multiples
• Finding factors and multiples

So let's try to do that. Let's try to do that second technique. You add another Let's see, you add