## What a Mathematical Multiple is?

A mathematical multiple is a number that can be divided by another number evenly without leaving any remainders. This is a key concept in maths, and children need to understand it well before they can move onto the next stage of their learning.

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### What is a factor and a multiple?

Factors and multiples are very closely related to each other, but they are sometimes confusing. In general, factors are numbers that can be multiplied together to get another number. For example, 12 is a factor of 1, 2, 3, 4, 6, and 12.

### What are the different types of numbers?

There are three different types of numbers: integers, fractions and decimals. These three types of numbers are the only types that we can multiply with each other in order to get a new number. These numbers are called factors and they are the same as the ones that we can add together to get the number we want.

### What are the prime factors of a number?

A number can be a prime number if it has two unique factors that aren’t the same. For example, the prime factors of 20 are 5 and 2. These are also the same as the prime factors of a number that is a multiple of 2 like 21.

### What are the common multiples of a number?

The common multiples of a number are the numbers that appear in many times tables. For example, 3 x 4 is a common multiple of both 3 and 4. If we want to find the least common multiple of these two numbers, then we need to look at their prime factors.

### What are the common multiples for 8 and 12?

The most common multiples of 8 and 12 are 24 and 72. This means that these two numbers can be divided by 24 and 12 without leaving a remainder. This is a really important skill, and it’s great practice for young children to learn this skill!

### What are the highest common factors of a number?

When we are talking about numbers in school, we will often hear the term ‘highest common factor’. This is a really good term to use when you are talking about numbers because it means that it’s easy to find a way to make them all equal to the same number. This can be used when you are trying to find the best way to simplify fractions or when you are looking for patterns in numbers.

### What is the difference between a factor and a multiple?

The main difference between a factor and a multiple is that a factor divides a number into its factors exactly. For example, 3 x 4 is 12 because it divides 3 into its factors of 4, which are the 2s and the 3. These two numbers are also the factors of 12 as they were multiplied to get 12 in the first place.

In conclusion, understanding the concept of mathematical multiples is crucial in mathematics education. A multiple is a number that can be evenly divided by another number without leaving any remainder. Factors, on the other hand, are numbers that can be multiplied together to obtain another number. Integers, fractions, and decimals are the three types of numbers that can be multiplied to generate new numbers and are considered factors. Prime factors are unique factors that are not the same, and identifying them helps determine if a number is prime. Common multiples are numbers that appear in the time tables of multiple numbers. Finding the least common multiple involves examining the prime factors of the given numbers. For example, the common multiples of 8 and 12 are 24 and 72. The highest common factor refers to the largest number that can divide evenly into multiple numbers. Factors divide a number into its factors exactly, whereas multiples are obtained by multiplying factors. Understanding these distinctions and concepts is essential for mathematical comprehension and problem-solving.