.webp)
|
|
Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 as they can divide 72 without leaving any remainder. We know that the factors are those numbers that divide the given number without leaving any remainder or that can be multiplied together with other factors to give the result of the number itself. In this article, we will answer different questions related to factors like “What are Factors?”, “What are some Factors of 72?”, and “How to Find Factors of 72?”.
Table of Content Factor Definition
The factors of a number can either be positive or negative as both positive and negative numbers can divide the given number completely without leaving a remainder. For example, both 3 and -3 are factors of 9, since 9 divided by 3 equals 3, and 9 divided by -3 equals -3, with no remainder in either case. What are Factors of 72?Factors of 72 are those numbers which divide the number without leaving any remainder i.e. 72 ÷ Factor, then remainder = 0. In other words, we can also say that factors are those numbers which multiply together to give a product equal to 72. For example: 12 and 6 are factors of 72 because the product of 12 and 6 are 72
So, the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
All Factors of 72List of all factors of 72 include:
How to Find Factors of 72To find the factors of 72, to find the factors of 72 you need to find out all the whole numbers that can divide 72 without leaving a remainder.
Prime Factorization of 72Prime factorization is method of expressing any number as the product of prime numbers. To find out prime factorization of 72, divide 72 by its prime factors (you can begin by dividing by its smallest factor that is 2), until we get the result as 1.
So, prime factorization of 72 = 2 × 2 × 2 × 3 × 3 = 23 × 32 This process of prime factorization can be illustrated as follows:
Prime Factors of 72The prime factors of a number are the prime numbers that exactly divide the given number without leaving a remainder. In the case of 72, its prime factors are 2 and 3. Factor Tree of 72A factor tree is a diagram that breaks down a number into its prime factors. The factor tree of 72 can be illustrated as:
Factor Pairs of 72Factors pairs are those number when multiplied together gives 72. Those pairs can be negative as well as positive.
Also Read, Solved Examples on Factors of 72Example 1: What are the factor common between 6 and 72. Solution:
Example 2: What is the sum of all factors of 72. Solutions:
Example 3: What is the sum of odd factors of 72. Solution:
Example 4: If a is a factor of 72 and a <12, what is the largest possible value of a? Solution:
Practice Questions on Factors of 72Problem 1: How many factors does 72 have? Problem 2: Identify the prime factors of 72. Problem 3: Find the sum of all the factors of 72. Problem 4: Determine the product of all the factors of 72. Problem 5: What is the greatest common divisor (GCD) of 72 and 36? Problem 6: What is the least common multiple (LCM) of 72 and 24? Problem 7: If you group the factors of 72 into pairs that multiply to 72, what are the pairs? Problem 8: Are there more even or odd factors of 72? List them. Frequently Asked Questions on Factors of 72Why is 2 a Factor of 72?
How do you Find the Factors of 72?
Is 72 a Prime Number?
What Factors of 72 are Composite?
What are the Factors of 72 that add up to 17?
Which Number is a Factor of 72 but not a Multiple of 4?
|
Reffered: https://www.geeksforgeeks.org
| Geeks Premier League |
| Related |
|---|
Bookstore Ecommerce App using MERN Stack |
Notes Maker App using MERN Stack |
Bag-Of-Words Model In R |
Understanding React State and Data Flow |
Hangman game using React |
Type: | Geek |
Category: | Coding |
Sub Category: | Tutorial |
Uploaded by: | Admin |
Views: | 14 |