Factors and multiples are the two key concepts of elementary schooling. The concepts are taught together because the two are somewhat similar to each other. It’s time to recollect these concepts. Factors are the numbers that exactly divide the given number. However, multiples are the numbers that are multiplied by another number to get a specific number. In this article, you will learn in detail about factors and multiples. Taking the number 80 as an example we shall learn about the factors of 80, the multiples of 80, how to calculate its LCM, and whether or not is 80 a prime or composite number. Let’s get started.
1. What are the Factors of 80?
We already know the definition of factors is to divide a given number. Determining factors of 80 would not be that difficult. Factors of 80 are basically the numbers that evenly or exactly divide without leaving any remainder. In other words, if a number divided by 80 leaves a remainder zero, then that number is known as a factor. The numbers which form the factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. (See What is GCF of 24 and 32?)
2. What are the Factors of 80 in Pairs?
After understanding what are the factors of 80, let us write them in pairs. Factor pairs of a number are the different combinations of two factors that are multiplied together to get a specific number. To determine factor pairs, first list all the factors of the number and then pair the number which when multiplied together, gives you the listed number. Since the factors of 80 are already listed, let’s list out the factor pairs. They go as follows:
( 1, 80); ( 2, 40); ( 4, 20); ( 5, 16); ( 8,10). (See What is i to the power of 3?)
3. What are the Multiples of 80?By Chris Liverani on Unsplash
Multiples are the products obtained when a number is multiplied by an integer. An integer is a number with no decimal or fraction part but includes negative and positive numbers, zero included. Here, let’s find the first five multiples of 80. To do so, we need to multiply 80 by 1, 2, 3, 4, 5 which gives the multiples as 80, 160, 240, 320, 400. To count further, keep multiplying 80 by 6, 7, 8, 9, 10, and so on. (See What is 0.12 Repeating as a Fraction?)
4. What is the Biggest Factor of 80?
It is generally believed that the biggest factor of a number is the number itself. Hence, the biggest factor of 80 is 80. (See What is the very last number in the world?)
5. What are the Products of 80?
Multiplying two whole numbers gives us a product and the numbers we multiply are the factors. The products or multiples of 80 are:
- 1 × 80 = 80;
- 2 × 80 = 160;
- 3 × 80 = 240;
- 4 × 80 = 320; and so on.
6. What is the Factor Tree of 80?
Now that you are aware of the multiples and products of 80, let us take a look at the above factor tree. A factor tree is a diagram where you express the factors of a number and then the factors of those numbers until the end. The final number that you get is the prime factor of the original number. Must see What is a mathematical sentence example?
7. What Table does 80 come in?
The tables in which 80 comes are basically the numbers which are the factors of 80. Now, 80 comes in a lot of tables. Hence, the factors of 80 are 1, 2, 4, 5, 8 , 10, 16, 20, 40, 80. (See What graph is useful for showing changes in a variable?)
8. What is the Prime Factor of 80?
A prime number is a mathematical term given to a number that is only divisible by 1 and the number itself. Hence, the prime factors of a number are also such numbers that are only divisible by 1 and the number itself. Now, there are two ways in which you can find out the prime factor of 80. One is by doing the prime factorization as shown in the picture below, and the other is by listing down the factors of 80 which will help you determine the prime factor of 80. In both cases, the answer comes out to be 2 and 5. (See What do you mean by a Prime number?)
9. What is the LCM of 80 and 100?
As the name suggests, the lowest common multiple (LCM) is a common ground of numbers. To calculate LCM you always need at least two or more numbers. Let’s take the other number to be 100. There are two ways in which you can find out the LCM of 80 and 100. The easiest of the ways is listing the multiples and the one which is the most common is the LCM of the two numbers.
The multiples for 80 are 80, 160, 240, 320, and 400 and for 100 it is 100, 200, 300, 400, and 500. Here in both places, 400 is common which is the LCM of both numbers.
Another method is the prime factorization method as explained above. Just do it for both 80 and 100.
By both these methods, the answer obtained is 400. (See What is 3 to the Power of 4?)
10. Is 80 a Perfect Square?
No, 80 is not a perfect square. 80 is a natural number and there is no other natural number that can be squared to make 80. The square root of 80 is not a whole number but a fraction. Hence, it is not a perfect square. (See How can you change 0.33 to a fraction accurately?)
11. Is 80 a Multiple of 4 Yes or No?
Yes, 80 is a multiple of 4.
12. Is 80 a Prime or Composite Number?Image by Alicja from Pixabay
After understanding so much about the factors of 80, you may wonder if it is a prime number or a composite number. A composite number is a natural number or a positive integer which has more than two factors i.e., they are divisible by a number other than 1 and the number itself. By this time, you must have guessed the answer. Yes! 80 is a composite number.
The concept of factors and multiples and the related concepts around it are rather simple to understand. We hope this article was able to bring clarity about factors and multiples and could give more insight into headings like prime factorization, factor tree, LCM, and prime and composite numbers. After this, you are definitely test-ready for factors and multiples. All the best!