Factors the 168 are the number that can divide 168 evenly. 168 is a three-digit also number, and also certainly, that has plenty of factors, most of which are even. There are 16 factors of 168 in all. The course, because the 3 digits include up to a many of 3, 168 is also divisible by 3. In this lesson, we will certainly calculate the factors of 168, its element factors, and its factors together with some solved examples for far better understanding.

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**Factors of 168 :**1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and also 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 determinants of 168? |

2. | How to calculation the factors of 168? |

3. | Factors that 168 by prime Factorization |

4. | Challenging Questions |

5. | Factors the 168 in Pairs |

6. | Important Notes |

7. | FAQs on factors of 168 |

## What are factors of 168?

Factors of 168 are the number that division it fully and provide the remainder together 0. Once you multiply any type of two natural numbers v each other and also get 168 as the answer, you deserve to say that both numbers will certainly be the determinants of 168.For example, friend can get 168 as response with the complying with numbers:

1 × 168 = 1682 × 84 = 1683 × 56 = 1684 × 42 = 1686 × 28 = 1687 × 24 = 1688 × 21 = 1682 × 14 = 168This can be continued until you reach 168 × 1 = 168. Thus, in general, we deserve to say the **the factors of 168 room all the integers that division 168 there is no leaving any remainder**.

## How to calculate the determinants of 168?

Let"s begin calculating the determinants of 168, starting with the smallest organic number, i.e. 1. Divide 168 v this number. Is the remainder 0? correct! So, we will get:

168 ÷ 1 = 168168 × 1 = 168The next organic number is 2. Now, divide 168 with 2.

168 ÷ 2 = 8484 × 2 = 168Proceeding in a similar manner, us get:

1 × 168 = 1682 × 84 = 1683 × 56 = 1684 × 42 = 1686 × 28 = 1687 × 24 = 1688 × 21 = 16812 × 14 = 168## Factors of 168 By element Factorization

Prime factorization means to to express a composite number together the product the its** prime factors**.

### Prime administer by Division

**Step 1:**To get the prime factorization of 168, we division it by its the smallest prime factor which is 2 i.e. 168 ÷ 2 = 84

**Step 2:**Now, 84 is separated by its smallest prime factor and also the quotient is obtained.

**Step 3:**This process is recurring till we get the quotient together 1.

### Prime administer by element Tree

We can do the very same procedure utilizing the **factor tree** as presented in the diagram given below:

### Prime administer by Upside-Down Division

The **prime administrate of 168** is presented below:

Let us express 168 in regards to the product the its prime components as **2 × 2 × 2 × 3 × 7.****Q: **Now the we have done the element factorization of our number, we can multiply the numbers and get the various other factors. Can you try and uncover out if all the factors are covered or not?**A: **As you might have currently guessed, for prime numbers, there space no other factors. Explore factors using illustrations and also interactive examples:

**Challenging Questions:**

**one-factor**pair.Can multiples the 168 likewise be components of 168?

## Factors the 168 in Pairs

The pairs of numbers which give 168 once multiplied are recognized as the element pairs that 168. The complying with are the determinants of 168 in pairs:

| 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 have the right to observe in the table above, after ~ 12 × 14, the components start repeating, other than that they show up in a various order. So, it is enough to find factors until (12, 14)

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

Let"s take it a look in ~ the **negative pair factors** of 168.

**(-1,-168), (-2, -84), (-3, -56), (-4, -42), (-6, -28), (-7, -24), (-8, -21)**and

**(-12, -14).**

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The smallest factor of 168 is 1 and also the largest variable of 168 will certainly be the number itself, i.e. 168.Fractions and decimals cannot be factors. Only integers (positive or negative) deserve to be factors.Factors that 168 space 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and also 168.