# Factors of 8 | with Easy division and prime factorization

Contents

**Factors of 8**

Factors of 8 are the numbers that divide the number 8 without leaving any reminder, so these factors can’t be in fractions. There are 4 (four) factors of 8. The positive factors of 8 are 1, 2, 4, and 8. The positive pair factors of 8 are (1, 8) and (2, 4) and the negative pair factors of 8 are (-1, -8) and (-2, -4). 2 is the only prime factor of 8.

Factors of 8:1, 2, 4 ,8

Negative Factors of 8:-1, -2, -4,-8

Prime Factors of 8:2

Prime Factor of 8:2

Sum of Factors of 8:1+2+4 +8=15

**What are Factors of 8?**

Factors of 8 are those numbers that completely divide it, leaving zero (0) as the remainder. For example, 8 ÷ 1 leaves a remainder 0.

We get 8 as the quotient and 0 as the remainder. This indicates that 8 is divisible by 1 so 1 and 8 are the factor of 8. Let’s see the complete picture.

8 ÷ 1 = 8

8 ÷ 2 = 4

8 ÷ 4 = 2

8 ÷ 8 = 1

Thus, the **factors of 8** are 1, 2, 4, and 8.

**How to Calculate the Factors of 8?**

There are two methods to find the factors of 8 as follows:

**Factors of 8 By Division Method****Factors of 8 By Prime Factorization Method**

As we know, in prime factorization, we express the number 8 as the product of its prime factors. Similarly, in the division method, we look for numbers that divide the number 8 exactly without leaving any remainder.

**Factors of 8 By Division Method**

Since 8 is a composite number, it will have more than two factors. Let us calculate all the factors of the 8 by the division method. The first step is to divide 8 with the smallest prime factor, which is 2, followed by the others.

8 ÷1 = 8

8 ÷ 2 = 4

8 ÷ 4 = 2

8 ÷ 8 = 1

As we have seen, the division method shows that 8 is exactly divisible by four numbers that are 1, 2, 4, and 8. Therefore, the total factors of 8 by division are 1, 2, 4, and 8. Have you noticed that all the factors are equal or less than 8?

**Factors of 8 By Prime Factorization**

You can also find the factors of 8 by prime factorization. It is, actually, the upside-down division method

The factors of 8 by the prime factorization method are 1, 2, 4, and 8. Here, 2 is the only prime factor of 8.

**Factors of -8**

To find the factors of -8, we will follow the same process as we have done above. These factors give the product (-8) when multiplied.

-1 x 8 = -8

1 x -8 = -8

-2 x 4 = -8

2 x -4 = -8

From the above process, we can make pair factors of -8 as follows:

(-1 x 8), (1 x -8), (-2 x 4) and (2 x -4).

With the help of the above illustrations, let’s explore the following factors:

**Factors of 9:**

(1,3,9)

**Factors of 10:**

(1, 2, 5, 10)

**Factors of 15:**

(1, 3, 5, 15)

**Factors of 180:**

(1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180)

**Factors of 20:**

(1, 2, 4, 5, 10, 20)

**Factors of 8 in Pairs**

Every number has factors except 0, and we can make a set of positive and negative factors. To find the positive factors of 8 in pairs, we will multiply the two numbers in a pair to get the resultant.

**Positive Factors of 8 in Pairs**

1 × 8 = 8 (1, 8) is a pair

2 × 4 = 8 (2, 4) is a pair

Therefore, **(8, 1)** and **(2, 4)** are the positive factors of 8 in pairs.

**Negative Factors of 8 in Pairs**

-1 × -8 = 8 (1, 8) is a pair

-2 × -4 = 8 (2, 4) is a pair

Therefore, **(-8, -1)** and **(-2, -4)** are the positive factors of 8 in pairs.

Link Related Factors | ||

Factors of 30 = 1,2,3,5,6,10,15 and 30. | List all the Factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24. | Prime factorization of 34 = 1,2, 17, and 34. |

Factors of 36 = 1,2,3,4,6,9,12,18, and 36. | All Factors of 38= 1, 2, 19, 38. | All factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. |

Factors of 45 = 1, 3, 5, 9, 15, and 45. | Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. | Factors of 49 = 1, 7, 49. |

Factors of 50 = 1, 2, 5, 10, 25, 50. | Factors of 54 = 1, 2, 3, 6, 9, 18, 27 and 54. | Factors of 56 = 1, 2, 4, 7, 8, 14, 28 and 56. |

**Notables:**

- Factors
**8**are 1, 2, 4, and 8. - 1 is a
**universal and primary facto**r of all numbers except zero (0). - The
**positive factors of 8**in pairs are (2, 4) and (1, 8). - The
**negative factors of 8**in pairs are (-2, -4) and (-1, -8). - 2 is the only
**prime factor**of 8.

**Solved Examples**

**Example 1:**

**Calculate the common factors of 8 and 84.**

**Solution:**

There are 11 factors of 8: 1, 2, 4, 8

All factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

Therefore, 70 and 84 have a common factor of** 1**, 2, and 4.

**Example 2:**

**Calculate the common factors of 8 and 24.**

**Solution:**

The factors of 8 are **1, 2, 4, 8**

Find the prime factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

As 71 is a prime number, the common factor of 8 and 24 is** 1**, 2, 4, and 8 only.

**Example 3:**

Calculate the common factor of 47 and 8.

**Solution:**

All Factors of 47= 1 and 47.

Find the prime factors of 8=1, 2, 4, and 8**.**

As a result, 38 and 8 have **1**, and 2 common factors.

**FAQs **

**What are the Factors of 8?**

The factors of 8 are 1, 2, 4, 8 and its negative factors are -1, -2, -4, -8.

**How Many Factors of 8 are also common to the Factors of 4?**

**Factors of 8:** 1, 2, 4, 8 **Common Factors of 8 and 4:** 1, 2, 4

**What is the Sum of the Factors of 8?**

The sum of all these factors is 1 + 2 + 4 + 8 = **15**

**What is the Greatest Common Factor of 8 and 5?**

**Factors of 8:** 1, 2, 4, 8 **Factors of 5:** 1, 5. 8

There is and 5 have only one common factor, which is 1.

Therefore, the Greatest Common Factor (GCF) of 8 and 5 is **1**.

**What are the Pair Factors of 8?**

The positive pair factors of 8 are (1, 8) and (2, 4) and the negative pair factors of 8 are (-1, -8) and (-2, -8).