In this article we are going to learn about the factors of 16. The article is divided into several categories to suit the need of it’s viewers and also for an ease to navigate to the specific section of the page. After reading the information provided below you will be able to know about :
1. What is a Factor ? 2. What are the factors of 16 ? 3. Prime numbers 4. Prime Factorization of 16 5. Is 16 a prime Number ? 6. Composite Numbers 7. Is 16 a composite number ? 8. Is 16 a perfect Square? 9. Common Factors 10. Common Factors of 16 and 24
1. What is a Factor ?
Factor is sometimes also referred as a Divisor. The basic definition of a factor is the number which leaves remainder as 0 when it divides the given number. If a number divides another number without leaving any remainder then it is said to be the factor of that number. A number can have 2 or more factors except 1 which has only one factor and that is 1 itself.
2. What are the factors of 16 ?
Moving on to the next step the question arises what are the factors of 16. Reading above point you are now clear with the meaning of Factor and here you will be able to know what are the factors of 16 ? So to find all factors of 16 we first need to find all those number which are going to divide 16 without leaving any remainder and then we will note down all the factors of 16 . Let’s proceed with all the factors of 16 : 16 – 1, 2, 4, 8, 16 Now we are going to list all the factors of 16 which are 1, 2 , 4 ,8 and 16.
3. Prime numbers
Prime numbers are the numbers having only two Factors that is 1 and the number itself. In other words the number which is divided only by 1 and the number itself is known as prime number. 2 is the smallest prime number. Example of prime number – 2,3,5,7,11,13 etc
4. Prime Factorization of 16
Prime Factorization is the method of finding out all of the factors which are prime. So for the Prime Factorization of 16 we first need to find all factors of 16 and then from all the factors of 16 we will pick up the Factors which are prime numbers . This collection is called the Prime factors of 16. So the process is : 1. List all the factors of 16 2. Pick up the prime numbers 3. Start dividing 16 by those prime Factors of 16 starting with the smallest prime factor Prime Factorization of 16: 16 – 2*2*2*2 So from the above we see that the prime Factors of 16 is only 2.
5. Is 16 a Prime Number ?
From the definition of Prime number we can see that there are more than 2 factors of 16 which are 1,2,4,8 and 16. Hence 16 is not a Prime Number.
6. Composite Numbers
A composite number is the number which can be obtained by multiply two positive integers. Or in other words we can say that a composite number is the number which has more than two Factors . 4 is the smallest composite number.
7. Is 16 a Composite Number ?
To decide whether 16 is a composite number or not we have to look for all factors of 16 so that we can make our decision clearly. So making list of all the factors of 16 we get : 1,2,4,8,16 So the number of factors of 16 is more than 2. Therefore 16 is a composite number.
The question is how to decide whether a number is perfect Square or not. The simplest method is just find out the square root of that number and if the result is a whole number then that is a Perfect Square. Now coming to the case of 16 , we can easily find out that the square root of 16 is 4 which is a whole number. Therefore 16 is a Perfect Square.
9. Common Factors
Now comes a new term common factor. Common Factor is defined as the number which divides two or more numbers completely without leaving any remainder. There can be 1 or more common Factors for given set of numbers.
10. Common Factors of 16 and 24
From the above points we have understood what are the common Factors. So for better understanding we can take example of finding common factors of 16 and 24. The process is very simple : 1. Make a list of all factors of 16 and factors of 24 2. Find the numbers which are common in both 3. The common numbers are the common factors of 16 and 24
Factors of 16 : 1,2,4,8, 16 Factors of 24 : 1,2,3,4,6,12,24
Common Factors : 1,2,4
So from the above article many facts about the Factors of 16 has been stated . We got the answer of what are the factors of 16, we listed all factors of 16, we came to know about the Prime factors of 16 and many other new terms. Hope this article has been useful to you.