prime Factor the following number using the division method 20
Answers
Answer:
The factors of 20 are the numbers, which produce the result as 20 when a pair of factors are multiplied together. These factors are 1,2,4,5,10 and 20.
Factor pairs of the number, that results in original number when multiplied together. To find the factors of a number, 20, we will use the factorization method.
In the factorization method, first consider the numbers, 1 and 20 as factors and continue with finding the other pair of multiples of 20 which gives the results as an original number. To understand this method in a better way, read the below article to find the factors of 20 in pairs. Also, the prime factors of 20 with the help of the division method is discussed here
Pair Factors of 20
To find the factor pairs of 20, multiply the two numbers in a pair to get the original number as 20, such numbers are as follows:
If 1 × 20 = 20, then (1, 20) is a pair factor of 20.
Similarly, let us find other pair factors:
2 × 10 = 20, (2, 10) is a pair factor of 20
4 × 5 = 20, (4, 5) is a pair factor of 20
Therefore, the positive pair factors are (1, 20), (2, 10), and (4, 5)
How to Find the Factors of 20?
Learn the following steps to find factors of a number 20.
First, write the number 20
Find the two numbers, which gives the result as 20 under the multiplication, say 2 and 10, such as 2 × 10 = 20.
We know that 2 is a prime number which has only two factors, i.e., 1 and the number itself (1 and 2). So, we cannot further factorize it.2 = 2 × 1
But 10 is a composite number but not a prime number. So it can be further factorized.
10 = 2 × 5 × 1
Therefore, the factorization of 20 is written as, 20 = 2 × 2 × 5 × 1
Finally, write down all the unique numbers which we can obtain from 20 = 2 × 2 × 5 × 1
Factors of 20
1, 2, 4, 5, 10, and 20
Prime Factors of 20
The number 20 is a composite number and it has prime factors. Now let us know how to find the prime factors.
The first step is to divide the number 20 with the smallest prime factor, say 2.
20 ÷ 2 = 10
Again, divide 10 by 2
10÷ 2 = 5
Now, if we divide 5 by 2 we will get a fractional number, which cannot be a factor.
So, now proceed with the next prime numbers, i.e. 5
5 ÷ 5 = 1
We have received 1 at the end in the division process and so that we cannot proceed further. So, the prime factors are written as 2 × 2 × 5 or 22 × 5, where 2 and 5 are the prime numbers.
Answer:
20: 1, 2, 4, 5, 10
Step-by-step explanation:
Prime Factors of 20
Now, if we divide 5 by 2 we will get a fractional number, which cannot be a factor. We have received 1 at the end in the division process and so that we cannot proceed further. So, the prime factors are written as 2 × 2 × 5 or 22 × 5, where 2 and 5 are the prime numbers.
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