Factors of a number are the numbers that produce the result of the given number when multiplied together. There are a couple of super easy methods to find factors, one is by multiplication and the other by division. In this article we will discuss the factors of 16 and also look at some fun facts about it!
The factors of a number are the numbers that divide the given number exactly without leaving any remainder. If a number is divisible by 2 then it must have the factor of 2. This method can be used to find all the factors of a number. Once you have found all the factors then it is a good idea to organize them into factor pairs as this makes finding the prime factors much easier. The factors of the number 16 are (1, 16), (2, 8), and (4, 4).
If a number is not divisible by any of the prime numbers then it must have more than two factors. The number 16 is divisible by 2, 3, 4, 5, 7, 11, and 13. So it has more than two factors and hence is a composite number.
To find the prime factors of a number you can start by dividing the number by the lowest prime number. For the number 16 this would be 2. So you divide 16 by 2 and then continue to divide it by any prime numbers until it cannot be divided anymore. Each of the quotients and the numbers that leave a remainder are considered to be a factor of the number and then organized into a prime factorization tree as shown below.