Factor of 12: Factor, Alliance, Prime and Factorization Prime
Factor of 12 – are 1, 2, 3, 4, 6, 12. Here is how to calculate the factors of 12 along with understanding and how to determine factors, common factors, prime factors, prime factorization, multiples and common multiples. For more details, see the discussion below
List of contents :
Understanding Factor
A factor is a number that can divide a number completely.
Example:
The factors of 12 are 1,2,3,4,6, and 12.
Guild Factor
Common factors are numbers that are the same factors of two or more numbers.
Example:
The common factors of 12 and 30 are:
Factors of 12 = 1,2,3,4,6, and 12.
Factor of 30 = 1,2,3,5,6,10,15 and 30.
Common factors of 12 and 30 = 1,2,3, and 6.
Prime Factor
A prime factor is a prime number that can be used as a divisor of a number.
example:
Factor of 24 = 1,2,3,4,6,8,12,24.
The prime factors of 24 = 2 and 3.
Prime Factorization
Prime factorization is the product of all prime numbers that are factors of a number.
Example:
Prime factorization of 18 = 2x3x3 = 2x3 to the power of 2
To be able to determine the greatest common factor of a number, try to study the example below!
Example :
Factors of 9 = 1, 3, and 9 .
Factors of 18 = 1, 2, 3, 6, 9, and 18.
Common factors of 9 and 18 = 1, 3, and 9.
The greatest common factor of 9 and 18 = 9.
So, the greatest common factor of a pair of numbers is the number that is in the common factor of the pair of numbers.
Multiple.
Multiples of 8 = 8,16,24,32,…
Multiples of 15 = 15,30,45,60,…
Examples of multiples of 7
7 +7 = 14
7 + 14 = 21
7 + 21 = 28
7 + 28 = 35
Look at the January 2008 calendar. Monday's dates are 7, 14, 21, 28.
Multiples of 7 can be obtained by adding 7. You can also multiply it by a natural number.
1 × 7 = 7
2 × 7 = 7
3 × 7 = 7
4 × 7 = 7
Fellowship Multiples
Common multiples are the same number and are multiples of two or more numbers.
Example:
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, …
Common multiples of 4 and 6 are 12, 24, 36, 48, …
The least common multiple of 4 and 6 is 12 .
Example: Find a multiple of 10.
Answer:
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60 and so on.
So, multiples of 10 are 10, 20, 30, 40, 50, 60, ….
Problems example
Andi has 12 apples and 18 oranges. And he plans to distribute the fruits equally to his friends. What is meant here is that his friend gets the same number of apples and oranges as the other friends. How many friends of Andi received the fruits? How many of Andi's friends can maximum receive the fruits?
First possibility, Andi can give the fruits to a friend. So his friend will get 12 apples and 18 oranges. This possibility is the simplest possibility.
Second possibility, Andi can give fruit to 2 of his friends. So that each of his friends gets 12: 2 = 6 apples and 18: 2 = 9 Orange fruit.
Can Andi distribute the fruits equally to 4 of his friends? Of course you can't. You can divide 12 apples by 4, but the number of oranges, 18, when divided by 4 is 4 and the remainder is 2. Or in other words, 18 divided by 4 does not get an integer. It can be said that 4 is a factor of 12, but not a factor of 18.
Let's go back to the problem at the beginning. How many friends of Andi received the fruits? To answer this question, let's list all the factors of 12 and 18. All factors of 12 are 1, 2, 3, 4, 6, and 12. While all the factors of 18 are 1, 2, 3, 6, 9, and 18. The two numbers 12 and 18 have the same factors, namely 1, 2, 3, and 6. These factors are called the common factor.
The number of Andi's friends who are given fruit must be able to divide the numbers 12 or 18. Until Andi's many friends must be common factors of 12 and 18, that is 1, 2, 3, and 6.
Next see other questions. How many of Andi's friends can maximum receive the fruits? Since the number of Andi's friends must be 1, 2, 3, and 6, the maximum number of Andi's friends is 6 people. 6 is the largest number of the common factors of 12 and 18. It can be said that 6 is the greatest common factor (FPB) of 12 and 18.
That's the discussion about this article, hopefully it's useful
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