Factors of 72
Factors of 72 are all the numbers that are divisible into 72 without any remainders. These factors are whole numbers and can be both positive and negative. In this page, we will learn how to find out all the factors of 72, including prime factors of 72.
The answer of :
- Factors of 72 are : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Prime Factors of 72 : 72 = 2 × 2 × 2 × 3 × 3
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Table of Contents :
Pair Factors of 72
In order to get the pair factors, we need to find two numbers multiplied together can get 72.
Multiplication
1 x 72
2 x 36
3 x 24
4 x 18
6 x 12
8 x 9
Positive pair
factors of 72
(1, 72)
(2, 36)
(3, 24)
(4, 18)
(6, 12)
(8, 9)
Negative pair
factors of 72
(-1, -72)
(-2, -36)
(-3, -24)
(-4, -18)
(-6, -12)
(-8, -9)
Prime Factors of 72
To obtin the prime factors of 72, you need to find the factors of 72 and divide them out.
- 72 divided by 2 is 36
- Then if you keep dividing 36
- You get the final breakdown of the 72 = 2 × 2 × 2 × 3 × 3
Alternately, we can organize all the prime factors of 72 using a tree diagram:
To list out all the prime factors : 72 = 2 × 2 × 2 × 3 × 3
To find out more factors:
How to Calculate the Factors of 72
Factors must be the whole numbers, which means fractions like 5.6 is not considered as a factor. We use the integers to divide 72, if there is no remainder, then the integers you use are the factors of 72. We can always dividing 72 by 1 to get started, then move to different integers.
72/1 = 72 (Factor = 1 and remainder = 0)
72/2 = 36 (Factor = 2 and remainder = 0)
72/3 = 24 (Factor = 3 and remainder = 0)
72/4 = 18 (Factor = 4 and remainder = 0)
72/6 = 12 (Factor = 6 and remainder = 0)
72/8 = 9 (Factor = 8 and remainder = 0)
Note:
If we divide 56 by numbers other than 1, 2, 4, 7, 8, 14, 28 and 56, there must be a remainder. Let us try 3,
2 is the remainder, then 3 is not the factors of 56
Examples
1. Find the common factors of 23 and 56
Answer:
The factors of 23 are: 1,23. (23 is a prime number)
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56
Thus, common factor of 23 and 56 is 1.
2. Find the common factors of 52 and 56
Answer:
The factors of 52 are: 1, 2, 4, 13, 26, and 52.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56
Thus, common factosr of 52 and 56 are: 1, 2, 4
3. Find the common factors of 33 and 56
Answer:
The factors of 33 are: 1, 3, 11 and 33.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56
Thus, common factor of 23 and 56 is 1.
FAQ - Factor of 56
What are the multiples of 56?
1x56=52, 2x56=112, 3x56=168, 4x56=224, 5x56=280...
Is 56 prime or composite?
Composite number, because 56 can be divided evenly by 1 and 56, (2, 28), (4, 14), (7, 8) are also the pairs of factors of 56
How many prime factors are there in 56?
The prime factors of 56 = 2x2x2x7, which means there are 2 prime factors in 56, they are 2 and 7.
What is the perfect number?
The perfect number is a positive integar that equal to the sum of its proper divisors.( not include itself) For example, 6 is the smallest perfect number, the factors of 6 are: 1,2,3,6. 6=1+2+3
Do numbers end?
No, numbers are infinite and never end.