Factors

# Factors of 63 in Pairs | How to Find Factors of 63 by Division Method

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

### Factors of 63 in Pairs | How to Find Factors of 63 by Division Method

Factors of 63 are the numbers that divide the number 63 without leaving any remainder. Let us understand how to find factors of 63 using the division method, what the factors and prime factors of 63 are, and how to factor tree along with solved examples. We hope this will be useful for you. Scroll down to find out more.

## What Are the Factors of 63?

The factors of 63 are 1, 3, 7, 9, 21 and 63.

Hence, 63 has six factors. Unlike the other numbers, 63 is a composite number. If the given number is a composite number, then it has more than 2 factors, apart from 1 and the number itself. The number 63 has both positive and negative factors, and they are:

Positive 63 Factors | Negative 63 Factors |

1 | -1 |

3 | -3 |

7 | -7 |

9 | -9 |

21 | -21 |

63 | -63 |

## Write Factors of 63 in Pairs

As we said, factors can be negative or positive, and the same goes for pairs as well. These pairs are the ones we get 63 as factors after we multiply them.

### Positive Pair Factors of 63

The positive pair factors of 63 are given below:

The positive 63 pair factors are (1, 63), (3, 21), and (7, 9).

### Negative Pair Factor of 63

The negative pair factors of 63 are given below:

The negative 63 pair factors are (-1, -63), (-3, -21), and (-7, -9).

## How to Find Factors of 63 by Division Method?

To find factors of 63, we need to divide the number 63 with the sequence of the natural numbers to 63. The numbers which give the remainder are not factors of 63. Those numbers which don’t leave any remainder are the numbers known as the 63 factors. The detailed steps to find the 63 factors by the division method are given below:

- 63÷1 = 63
- 63÷3 = 21
- 63÷7 = 9
- 63÷9 = 7
- 63÷21 = 3
- 63÷63 = 1

Hence from the above division, it is clear that the numbers 1, 3, 7, 9, 21, and 63 don’t leave any remainder. Hence the 63 factors are 1, 3, 97, 9, 21, and 63.

## How To Find Prime Factorisation of 63?

The steps to find the prime factorization of 63 is given below:

**Step 1:**Firstly, we will find a small prime number that is divisible by 63. Hence, we are dividing 63 by 3, which is the smallest prime number. 63 ÷ 3 = 21**Step 2:**Since we can divide 21 by 3, we will choose to use it. 21 ÷ 3 = 7**Step 3:**Since we cannot divide 7 by 3, we will choose the next smallest prime number, which is 7, to divide by 7. 7 ÷ 7 = 1**Step 4:**Because we can’t divide 3, 3, and 7 any further, we conclude that they are the prime numbers of 63.

Hence the prime factors of 63 are 3 X 3 X 7 = 63. Below is an image for better understanding:

## Find the Factor Tree of 63?

The steps to find a factor tree of 63 are given below:

**Step 1:**Firstly, write the number 63 at the top of the factor tree.**Step 2:**Now, as a part of the tree’s branches, write down the pair factor of 63. The pair factor we have used here is 3 and 21.**Step 3:**Since 3 is a prime number, we cannot separate it anymore.**Step 4:**Now, we will separate 21 into 3 and 7.**Step 5:**As 3 and 7 are both prime numbers, we cannot divide them further.

Circling all the branches gives us factors 3, 3, and 7. Therefore, the prime factors of 63 using a factor tree are 3 X 3 X 7 = 63.

Here is an image of the Factor tree of 63:

## Solved Examples on Factors of 63

A few solved examples on 63 factors are given below:

**What is the Sum of all the Factors of 63**?

The 63 factors are 1, 3, 7, 9, 21, and 63.

Therefore, adding all the factors of 63 =1 + 3 + 7 + 9 +21 + 63 = 104.

Hence 104 is the sum of factors of 63.

**What are the factors and prime factors of 63?**The factors of 63 are 1, 3, 7, 9, 21, and 63.

The 63 prime factors are 3, 3, and 7.

**What’s the highest common factor of 58 and 63**?

The factors of 58 are 1, 2, 29, and 58.

The factors 63 are 1, 3, 7, 9, 21, and 63

Hence, from the above, the common factor of 56 and 63 is 1.

The highest common factor of 10 and 30 is 1

**What’s the highest common factor of 36 and 63?**The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The 63 factors are 1, 3, 7, 9, 21, and 63.

From the above, the common factors of 36 and 63 are 1, 3, and 9.

The highest common factor of 36 and 63 is 9.

**What is the highest common factor of 27 and 63?**Factors of 27 = 1, 3, 9, and 27.

Factors of 63 = 1, 3, 7, 9, 21, and 63.

Hence the highest common factor between 27 and 63 is 5.

## FAQs on Factors of 63

**List all the factors of 63**

1, 3, 7, 9, 21, and 63 are the 63 factors.

**What are the composite factors of 63?**

9, 21, and 63 are the only composite 63 factors.

**What are the factors of 63 in pairs?**

(1, 63), (3, 21), and (7, 9) are the pairs of 63 factors.

**What are the positive factors of 63?**

1, 3, 7, 9, 21, and 63 are the positive 63 factors.

**What are the highest common factors between 105 and 63?**

21 is the GFC in between the factors of 105 and 63.

We hope this article on the factors of 63 is helpful to you. If you have any questions related to this page or in general about 63 factors, ping us through the comment box below and we will get back to you as soon as possible.

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Written by

Prerit Jain