# What Are the Factors of 21?

Factors of 21 are all the numbers that divide into the number 21 evenly without any remainder. If the number is divisible by 1, it’s a factor of 21, and the same is true for any other numbers that are also multiples of 21. The process of finding these factors is called prime factorization.

A prime factor is an integer larger than 1 that multiplies to provide a number that’s smaller than the prime. A common example is 3 (or any multiple of 3) that provides the number 7 because seven is the least common multiple of these two numbers.

Finding factors of a number can be done by using the divisibility test and checking whether any number divides the target number completely. Dividing the number by each of these numbers and writing down the quotients yields the list of factors. The quotients are the factors, and each of them is also a factor of the original number.

Another way of finding the factors is to identify the common numbers between two numbers. This can be done by multiplying these numbers together and looking for the resulting quotient that’s equal to the target number. The highest common multiple among these numbers is the greatest common factor (GCF).

When finding the factors of a number, it’s important to use the correct methods and steps in order to get an accurate result. One of the most popular ways is to divide the number by the smallest prime number that will provide the required result. This method is called the factorization technique and it’s often used in schools to teach students about integers.

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