Factors of 28

The factors of  28 are the numbers, that produce the result as 28 when two numbers are multiplied together. Consider an example, the factor pair of 29 is written as (1,29) and (-1,-29). When we multiply the pair of negative factors, the result should give the original number, such as multiplying -1  × -29, then we get the number 29. Thus, we can consider both positive and negative factor pairs of 29. Factor pairs of the number 28 are the whole numbers which could be either positive or negative but not a fraction or decimal number. To find the factors of a number, 28, we will use the factorization method.

In the factorization method, first take the numbers, 1 and 28 as factors of 28 and continue with finding the other pair of multiples of 28 which gives the results as an original number. To understand this method in a better way, read the article below to find the factor 28 in pairs. Also, the prime factors of a number 28 with the help of the division method are discussed here

Factors

Factors of 28
1, 2, 4, 7, 14, and 28

Pair Factors of 28

To find the pair factors, multiply the two numbers in a pair to get the original number as 28, such numbers are as follows

1 × 28 = 28, then (1, 28) is a pair factor of 28.

2 × 14 = 28, (2, 14) is a pair factor of 28

4 × 7 = 28, (4, 7) is a pair factor of 28

Similarly,

28 × 1 = 28, then (28, 1) is a pair factor of 28.

14 × 2 = 28, (14, 2) is a pair factor of 28

7 × 4 = 28, (7, 4) is a pair factor of 28

Here, the pair factor (1, 28) is the same as the pair factor (28, 1), (2, 14) is the same as the pair factor (14, 2), and (7, 4) is the same as the pair factor (4, 7)

Therefore, the positive pair factors are (1, 28), (2, 14), and (7, 4).

To find the negative pair factors of 28, then proceed with the following steps

-1 × -28 = 28, then (-1, -28) is a pair factor of 28.

-2 × -14 = 28, (-2, -14) is a pair factor of 28

-4 × -7 = 28, (-4, -7) is a pair factor of 28

Similarly,

-28 × -1 = 28, then (-28, -1) is a pair factor of 28.

-14 × -2 = 28, (-14, -2) is a pair factor of 28

-7 × -4 = 28, (-7, -4) is a pair factor of 28

Therefore, the negative pair factors are (-1, -28), (-2, -14), and (-7, -4).

How to calculate the Factors of 28?

Learn the following steps to calculate the factors of a number 28

    • First, write the number 28
    • Find the two numbers, which gives the result as 28 under the multiplication, say 2 and 14, such as 2 × 14 = 28.
    • We know that 2 is a prime number that contains only two factors, i.e., 1 and the number itself( 1 and 2). So that it cannot be further factorized.

2 = 2 × 1

    • But look at the number 14, which is a composite number but not a prime number. So it can be factorized further

14 can be factorised as 2 x 7 x 1

  • Therefore, the factorization of 28 is written as 28 = 2 × 2 × 7 x 1
  • Finally, write down all the unique numbers which we can obtain from 2 × 2 × 7 x 1
Factors of 28
1, 2, 4, 7, 14, and 28

Prime Factors of 28 By Division Method

The number 28 is a composite and it should have prime factors. Now let us know how to calculate the prime factors.

    • The first step is to divide the number 28 with the smallest prime factor, say 2.

28 ÷ 2 = 14

    • Again divide 14 by 2 and the process goes on.

14 ÷ 2 = 7

    • Now, if we divide 7 by 2, we get a fractional number, that cannot be a factor. So, continue with the next prime factor, say 7

7 ÷ 7 = 1

Finally, we got the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 28 are written as 2 × 2 × 7 or 22 x 7, where 2 and 7 are the prime numbers.

Register with BYJU’S – The Learning App to know the factors of 28 and also learn the factors and prime factors of other numbers with examples.

Leave a Comment

Your email address will not be published. Required fields are marked *