Factors of 28 space the list of integers that we can split evenly into 28. There are 6 factors of 28 of i beg your pardon 28 itself is the greatest factor and also its positive determinants are 1, 2, 4, 7, 14 and 28. The amount of all determinants of 28 is 56. That is Prime components are 1, 2, 4, 7, 14, 28 and also (1, 28), (2, 14) and also (4, 7) are Pair Factors.

You are watching: Find all the factors of 28

Factors of 28: 1, 2, 4, 7, 14 and 28Negative determinants of 28: -1, -2, -4, -7, -14 and also -28Prime determinants of 28: 2, 7Prime administer of 28: 2 × 2 × 7 = 22 × 7Sum of determinants of 28: 56
1.What are the components of 28?
2.How to calculation the determinants of 28?
3.Factors that 28 by element Factorization
4.Factors of 28 in Pairs
5.FAQs on components of 28

What are determinants of 28?

The aspect of a number is the number that divides it completely without leaving any kind of remainder. The number 28 is an also composite number i.e the is divisible through 2. The components of 28 space pairs the those numbers whose product offers the value 28.

*


How to Calculate Factors that 28?


Step 1: create down the number to be factored, i.e. 28Step 2: discover the two numbers who product gives 28Let"s say we take 2 and 14 together the numbers.2 have the right to be created as 2 = 2 × 114 is no a element number. Hence, it deserve to be factored together 2 and 7, apart from 1 and also the number itself, i.e. 1414 deserve to be created as 14 = 7 × 2 × 1

Hence, 28 have the right to be factored as 28 = 7 × 2 × 2 × 1 which way that the factors of 28 space 1, 2, 4, 7, 14, and also 28

Important Notes:

Factors of any number encompass all the possible numbers the is divisible by. They might be element numbers or composite numbers. In this case, 28 is a composite number however 2 is a element number.Factors are constantly whole numbers. Castle are never ever fractions or decimals. For example, even though the product the 56 and 0.5 is 28, they cannot be taken into consideration as determinants of 28.

Explore determinants using illustrations and also interactive examples


Factors the 28 by element Factorization


Writing a number as a product with all its determinants being element is called prime factorization. Let"s learn exactly how to find components using element factorization.

Step 1: compose the pair of factors that ~ above multiplication gives the forced number.Step 2: examine the factors to check out if each one of them is prime or not.Step 3: monitor the below criterion come differentiate between the administer procedure.If both the numbers are prime, they deserve to be multiplied as it is.If one amongst them is prime and the other is composite, then the composite number is dissociated right into its factors.If both the numbers space composite, they deserve to be dissociated right into factors.

Factors that 28 by element factorization are given by utilizing the adhering to steps.

Step 1: 28 can be factored together the product the 4 and also 7.Step 2: 4 is no a prime number and can be dissociated together a product the 2 by chin or as a square the 2. 7 is a prime number. Hence, that doesn"t need any further dissociation.Step 3: 28 have the right to thereby be composed as 28 = 4 × 7 = 2 × 2 × 7. The prime factors of 28 can likewise be written as 28 = 22 × 7. Now that we have actually done the prime factorization of ours number, we deserve to multiply them and get the various other factors. Have the right to you shot and discover out if every the factors are covered or not?

Factors the 28 in Pairs

Pair factors are pairs of those numbers which once multiplied provide the forced number together the product. Here, the required number is 28. Let"s shot visualizing it utilizing blocks.

*

Positive pair factors of 28:

FactorsPair factors
1 × 28 = 28(1, 28)
2 × 14 = 28(2, 14)
4 × 7 = 28(4, 7)
7 × 4 = 28(7, 4)
14 × 2 = 28(14, 2)
28 × 1 = 28(28, 1)

Negative pair determinants of 28:

FactorsPair factors
-1 × -28 = 28(-1, - 28)
- 2 × -14 = 28(- 2, - 14)
- 4 × -7 = 28(- 4, - 7)
-7 ×- 4 = 28(- 7, - 4)
-14 × -2 = 28(- 14, - 2)
-28 × -1 = 28(- 28, - 1)

Tips and Tricks:

1 is the smallest factor of every number.28 is an even number. Hence, 2 is among its factors.

Factors of 28 fixed Examples


Example 3: help Augustus uncover the pair components of 28 i m sorry on addition gives 16, subtraction gives 12, and division gives one of the determinants of 28 i m sorry belongs to an additional pair.

Solution:

Addition of pair determinants = 16, subtraction of pair factors = 12. Division of pair components = One aspect belonging to one more pair

The pair aspect is (14, 2). The pair factors on addition give 16, subtraction offers 12, and division gives 7 i m sorry is an additional factor the 28 and is a part of one more pair factor. Therefore, Augustus discovered (14, 2) is the pair factor.


*


FAQs on factors of 28

What are the components of 28?

The factors of 28 room 1, 2, 4, 7, 14, 28 and its an adverse factors are -1, -2, -4, -7, -14, -28.

What Numbers room the Prime components of 28?

The prime determinants of 28 are 2, 7.

What is the Greatest typical Factor that 28 and also 26?

The components of 28 and 26 are 1, 2, 4, 7, 14, 28 and 1, 2, 13, 26 respectively.Common factors of 28 and 26 space <1, 2>.Hence, the GCF that 28 and also 26 is 2.

See more: What Would You Do If You Were The Last Person On Earth, You’Re The Last Person On Earth

What room the usual Factors of 28 and also 11?

Since the determinants of 28 space 1, 2, 4, 7, 14, 28, and factors of 11 space 1, 11. Hence, 28 and also 11 have actually only one typical factor which is 1. Therefore, 28 and 11 room co-prime.

What is the sum of the factors of 28?

Factors that 28 space 1, 2, 4, 7, 14, 28 and, the amount of every these factors is 1 + 2 + 4 + 7 + 14 + 28 = 56