The factors of 28 are 1, 2, 4, 7, 14, and 28. These are the numbers that divide evenly into 28 with no remainder.
What is the factor tree of 28
A factor tree is a visual tool used to find the prime factorization of a number. The process for creating a factor tree for 28 is as follows:
Write the number you want to factor (28) at the top of a sheet of paper.
Divide the number by the smallest prime number that divides into it. In this case, that number is 2. Write the quotient (14) and the divisor (2) as branches on the page, with the quotient on top.
Repeat step 2 with the quotient (14) of the previous step. Divide 14 by 2. The quotient is 7 and the divisor is 2. Write the quotient and divisor as branches on the page.
Since 7 is a prime number, it cannot be divided further. So the factor tree is complete.
So the factor tree of 28 is:
28 | 2 | 14 | 2 | 7
How to Find the Factors of 28?
There are several ways to find the factors of a number, but one common method is to use division. To find the factors of 28, you can divide 28 by each number from 1 to 28 and see which ones result in a whole number (no remainder).
You can also use a divisibility rule to find factors of 28:
- If the number is divisible by 2, the factors are 2 and 14
- If the number is divisible by 4, the factors are 4 and 7
- If the number is divisible by 7, the factors are 7 and 4
- If the number is divisible by 14, the factors are 14 and 2
- If the number is divisible by 28, the factors are 28 and 1
So the factors of 28 are 1, 2, 4, 7, 14, and 28.
Is 28 a perfect factor?
A perfect number is a positive integer that is equal to the sum of its proper divisors, which are the positive integers that divide the number without leaving a remainder.
The proper divisors of 28 are 1, 2, 4, 7, and 14. Their sum is 1 + 2 + 4 + 7 + 14 = 28. Since the sum of the proper divisors of 28 is equal to 28, 28 is considered a perfect number.
Not all numbers have this property, only a few numbers are perfect numbers. They are quite rare and the first few are 6, 28
Also Check: Factors of 29
How to Calculate Factors of 28
Here is a table showing the factors of 28:
28/1 |
28 |
28/2 |
14 |
28/4 |
7 |
28/7 |
4 |
28/14 |
2 |
28/28 |
1 |
Positive Factors of 28
1 X 28 |
28 |
2 X 14 |
28 |
4 X 7 |
28 |
7 X 4 |
28 |
14 X 2 |
28 |
28 X 1 |
28 |
Negative Factors of 28
-1 X -28 |
28 |
-2 X -14 |
28 |
-4 X -7 |
28 |
-7 X -4 |
28 |
-14 X -2 |
28 |
-28 X -1 |
28 |