The factors of 63 are the numbers that divide evenly into 63. There are only four factors of 63: 1, 3, 7, 9, 21 and 63 itself. The prime factorization of 63 is 3 × 3 × 7, which means that 63 is a composite number. Composite numbers are numbers that have more than two factors. The factors of 63 can be used to find the multiples of 63, which are the numbers that can be created by multiplying 63 by one of its factors.

## Contents

## Factors Calculator

Factors of 63 | 1, 3, 7, 9, 21 and 63 |

Negative Factor of 63 | -1, -3, -7, -9, -21 and -63 |

Prime Factor of 63 | 3, 7 |

Prime Factorization of 63 | 3 × 3 × 7 |

Factors of 63 in Pairs | (1, 63), (3, 21), and (7, 9) |

Sum of Factor of 63 | 104 |

**Prime Numbers**

A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself. Some examples of prime numbers include 2, 3, 5, 7, and 11. Prime numbers are important in mathematics as they are used in many mathematical formulas and algorithms, and are also used in the study of number theory.

**Composite Numbers**

A composite number is a whole number greater than 1 that can be divided evenly by a number other than 1 or itself. In other words, a composite number is not a prime number. Some examples of composite numbers include 4, 6, 8, 9, and 10.

## What are the factors of 63?

The method of calculating the factors of 63 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 63 are the factors of 63.

By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 63 ÷ 1 = 63

This division gives the remainder 0 and so is divisible by 63. So please put them 1 and 63 in your factor list.

1, … 63

(ii) 63 ÷ 3 = 21

This division gives the remainder 0 and so is divisible by 21. So please put them 3 and 21 in your factor list.

1, 3 … 21, 63

(iii) 63 ÷ 7 = 9

This division gives the remainder 0 and so is divisible by 9. So please put them 7 and 9 in your factor list.

1, 3, 7 … 9, 21, 63

(iv) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

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

### Factor pairs of 63

1 x 63 = 63

3 x 21 = 63

7 x 9 = 63

So, (1, 63), (3, 21), and (7, 9) are factor pairs of 63

### Factor pairs of -63

-1 x -63 = 63

-3 x -21 = 63

-7 x -9 = 63

So, (-1,-63), (-3,-21), and (-7,-9) are negative pair factors of 63

### Prime Factorization of 63

63 ÷ 3 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

Therefore, 3 x 3 x 7 are Prime factorization of 63.

Factor tree of 63

```
63
/ \
3 21
/ \
3 7
```