Factors of 168 are the numbers that can divide 168 evenly. 168 is a three-digit also number, and also certainly, it has many type of determinants, the majority of of which are also. Tbelow are 16 components of 168 in all. Of course, because the three digits include up to a multiple of 3, 168 is additionally divisible by 3. In this leschild, we will certainly calculate the components of 168, its prime determinants, and also its determinants in addition to some addressed examples for better knowledge.

You are watching: What are the factors of 168

Factors of 168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168.Negative Factors of 168: -1, -2, -3, -4, -6, -7, -8, -12, -14, -21, -24, -28, -42, -56, -84, and -168.Prime Factorization of 168: 168 = 23 × 3 × 7
1.What are Factors of 168?
2.How to Calculate the Factors of 168?
3.Factors of 168 by Prime Factorization
4.Challenging Questions
5.Factors of 168 in Pairs
6.Important Notes
7.FAQs on Factors of 168

What are Factors of 168?

Factors of 168 are the numbers that divide it completely and also provide the remainder as 0. When you multiply any type of 2 natural numbers through each other and acquire 168 as the answer, you deserve to say that both numbers will certainly be the components of 168.For instance, you deserve to obtain 168 as an answer through the complying with numbers:

1 × 168 = 1682 × 84 = 1683 × 56 = 1684 × 42 = 1686 × 28 = 1687 × 24 = 1688 × 21 = 1682 × 14 = 168

This deserve to be continued until you reach 168 × 1 = 168. Hence, in general, we deserve to say that the components of 168 are all the integers that divide 168 without leaving any type of remainder.

How to Calculate the Factors of 168?

Let"s begin calculating the components of 168, beginning via the smallest herbal number, i.e. 1. Divide 168 via this number. Is the remainder 0? Yes! So, we will certainly get:

168 ÷ 1 = 168168 × 1 = 168

The next herbal number is 2. Now, divide 168 with 2.

168 ÷ 2 = 8484 × 2 = 168

Proceeding in a similar manner, we get:

1 × 168 = 1682 × 84 = 1683 × 56 = 1684 × 42 = 1686 × 28 = 1687 × 24 = 1688 × 21 = 16812 × 14 = 168

Factors of 168 By Prime Factorization


Prime factorization suggests to express a composite number as the product of its prime factors.

Prime Factorization by Division

Tip 1: To get the prime factorization of 168, we divide it by its smallest prime factor which is 2 i.e. 168 ÷ 2 = 84Tip 2: Now, 84 is divided by its smallest prime aspect and also the quotient is derived.Step 3: This process is repetitive till we acquire the quotient as 1.

Prime Factorization by Factor Tree

We deserve to carry out the same procedure making use of the element tree as displayed in the diagram given below:

*

Prime Factorization by Upside-Dvery own Division

The prime factorization of 168 is displayed below:

*

Let us express 168 in terms of the product of its prime factors as 2 × 2 × 2 × 3 × 7.Q: Now that we have done the prime factorization of our number, we deserve to multiply the numbers and also obtain the other determinants. Can you attempt and also find out if all the components are covered or not?A: As you may have actually currently guessed, for prime numbers, tbelow are no other components. Explore factors making use of illustrations and interactive examples:

Challenging Questions:

Determine a few various other numbers that have only a one-factor pair.Can multiples of 168 also be factors of 168?

Factors of 168 in Pairs

The pairs of numbers which offer 168 when multiplied are well-known as the variable pairs of 168. The complying with are the components of 168 in pairs:

Product develop of 168

Pair factor

1 × 168 = 168

(1,168)

2 × 84 = 168

(2, 84)

3 × 56 = 168

(3, 56)

4 × 42 = 168

(4, 42)

6 × 28 = 168

(6, 28)

7 × 24 = 168

(7, 24)

8 × 21 = 168

(8, 21)

12 × 14 = 168

(12, 14)

14 × 12 = 168

(14,12)

21 × 8 = 168

(21, 8)

You can observe in the table above, after 12 × 14, the components begin repeating, other than that they appear in a different order. So, it is sufficient to uncover determinants until (12, 14)

Pairs of factors of 168 are: (1, 168), (2, 84), (3, 56), (4, 42), (6, 28), (7, 24), (8, 21) and (12, 14).

*

Let"s take a look at the negative pair factors of 168.

If we take into consideration negative integers, both the numbers in the pair determinants will be negative.It is possible to have negative pair determinants also bereason the product of two negative numbers offers a positive number.Hence, we have the right to have actually aspect pairs of 168 as (-1,-168), (-2, -84), (-3, -56), (-4, -42), (-6, -28), (-7, -24), (-8, -21) and (-12, -14).

See more: How 'American Assassin' Dylan O Brien Beard S, Dylan Obrien Mustache


The smallest element of 168 is 1 and the biggest element of 168 will be the number itself, i.e. 168.Fractions and also decimals cannot be components. Only integers (positive or negative) have the right to be determinants.Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and also 168.