Factors of 7 are the list of integers that we can split evenly into 7. There are 2 factors of 7 of which 7 itself is the biggest factor and its positive factors are 1 and 7. The Pair Factors of 7 are (1, 7) and its Prime Factors is 1, 7.

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**Factors of 7:** 1 and 7**Negative Factors of 7:** -1 and -7**Prime Factors of 7:** 7**Prime Factorization of 7:** 7**Sum of Factors of 7:** 8

1. | What Are the Factors of 7? |

2. | How to Calculate the Factors of 7? |

3. | Factors of 7 by Prime Factorization |

4. | Factors of 7 in Pairs |

5. | FAQs on Factors of 7 |

6. | Thinking Out of the Box! |

## What Are the Factors of 7?

Let us recall, “What is a factor?” A factor is a number that divides another number equally without leaving a remainder.**Factors of 7 are 1 and 7**.The number 7 has only two factors, and hence it is a prime number.

## How to Calculate the Factors of 7?

Factors of 7 can be calculated by the division method and the prime factorization method.To find factors of 7, we start dividing 7 with 1.

7 /1 = 77 × 1 = 7

As 7 is an odd number, all of its factors will also be odd.7 is divisible by 7.

Hence, the **factors of 7 are 1 and 7.**

Explore factors using illustrations and interactive examples.

## Factors of 7 by Prime Factorization

Prime factorization is a process of breaking down a composite number into its prime factors.To get the prime factorization of 7, we divide it by its smallest prime factor, which is 7.

7/7 = 1

The process goes on till we get quotient 1.

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It can also be represented in a factor tree.

## Factors of 7 in Pairs

The pair of numbers which gives 7 when multiplied is called the pair factor of 7. Factors of 7 are 1 and 7.Since there are only two factors, we have only one pair.

**Factors of 7 in pair is (1, 7).**

Negative integers can also be the factors of 7.The negative pair factors of 7 are **(-1, -7).**

**Important Notes:**

A factor is a number that divides another number equally without leaving a remainder.Negative integers such as -1 and -7 can also be the factors of a number since their product gives a positive integer 7.

**Think Tank:**

Is 7 an abundant number? Find out the reason for your answer.Mia has to prepare 7 glasses of orange juice with an equal quantity out of 21 oranges. How many oranges are needed for one glass of orange juice?

**Example 1: **Miranda read all her 7 comic books. She then plans to share books with her 7 friends. How many possible ways does Miranda have to share books equally, so that, each of her friends has an equal number of books?

**Solution:**

Miranda can share books in these possible ways.7/7 = 1

Hence, Miranda has 1 possible way to share her books such that each of her friends gets 1 book.

**Example 2: **Can you help Edwin to find all the positive pair factors of 7?

**Solution:**

The positive pair factors of 7 are, (1, 7), (7, 1).

Hence, there are 2 positive pair factors of 7.

## FAQs on Factors of 7

### What are the Factors of 7?

The factors of 7 are 1, 7 and its negative factors are -1, -7.

### What is the Greatest Common Factor of 7 and 5?

The factors of 7 are 1, 7 and the factors of 5 are 1, 5. 7 and 5 have only one common factor which is 1. This implies that 7 and 5 are co-prime.Hence, the Greatest Common Factor (GCF) of 7 and 5 is 1.

### What Numbers are the Prime Factors of 7?

The prime factor of 7 is 7.

### What is the Sum of all the Factors of 7?

Since all factors of 7 are 1, 7 therefore, the sum of its factors is 1 + 7 = 8.

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### How Many Factors of 7 are also Factors of 4?

Since the factors of 7 are 1, 7, and factors of 4 are 1, 2, 4. Hence, 7 and 4 have only one common factor which is 1. Therefore, 7 and 4 are co-prime.