# Factoring

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### Find the Absolute Value of a Number

The absolute value of a number is the positive value of that number. It tells you how far away from 0 a number is on the number line. The symbol for absolute value is a set of vertical bars.

### How to Find the Factors of a Number

The factors of a number are all those numbers that can divide evenly into the number with no remainder. The greatest factor of a number is the number itself, so you can always list all the factors of any

### How to Find the Least Common Multiple

The least common multiple (LCM) of a set of numbers is the lowest positive number that is a multiple of every number in that set. For example, the LCM of the numbers 2, 3, and 5 is 30 because

### How to Find the Greatest Common Factor

The greatest common factor (GCF) of a set of numbers is the largest number that is a factor of all those numbers. For example, the GCF of the numbers 4 and 6 is 2 because 2 is the greatest number that’s

### 6 Mathematical Ways to Say the Same Thing

In math, factors and multiples are two important connected concepts. Multiplication and division are inverse operations. You may have noticed that, in math, you tend to run into the same ideas over and

### How to Generate Multiples

Even though multiples tend to be larger numbers than factors, most students find them easier to work with. Finding all the factors is possible because factors of a number are always less than or equal

### How to Conduct Divisibility Tests

When one number is divisible by a second number, you can divide the first number by the second without having anything left over. For example, 16 is divisible by 8 because 16 / 8

### Factors and Multiples

The concept of divisibility — for example, 12 is divisible by 3 because 12 / 3 = 4, with no remainder — can also be described using the words factor and

### How to Identify Prime (and Composite) Numbers

Every counting number greater than 1 is either a prime number or a composite number. A prime number has exactly two factors — 1 and the number itself. For example, the number 5 is prime because its only

### How to Generate a Number’s Factors

When one number is divisible by a second number, that second number is a factor of the first. For example, 10 is divisible by 2, so 2 is a factor of 10.

### How to Decompose a Number into Its Prime Factors

Every number is the product of a unique set of prime factors, a group of prime numbers (including repeats) that, when multiplied together, equals that number. You can find those prime factors for a given

### How to Find the Greatest Common Factor

The greatest common factor (GCF) of a set of numbers is the largest number that’s a factor of every number in that set. Finding the GCF is helpful when you want to reduce a fraction to its lowest terms

### How to Generate the Multiples of a Number

Generating the multiples of a number is easier than generating the factors: Just multiply the number by 1, 2, 3, and so forth. But unlike the factors of a number — which are always less than the number

### How to Find the Least Common Multiple

The least common multiple (LCM) of a set of numbers is the smallest number that’s a multiple of every number in that set. For small numbers, you can simply list the first several multiples of each number

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