In this blog post, we will take a closer look at the factors of 51, a composite number. We will delve into the ways in which it can be broken down into its component parts and explore the different methods used to find its factors. In addition, we will also provide information about negative factors of 51, pair factors, prime factorization, and its indivisible factors. We will also explore the concept of factor tree.

**Factors Calculator**

Factors of 51: 1, 3, 17, and 51

Negative Factors of 51: -1, -3, -17, and -51

Prime Factors of 51: 3, 17

Prime Factorization of 51: 3 × 17

Factors of 51 in Pairs: (1, 51) and (3, 17)

Negative Pair Factors of 51: (-1, -51), and (-3, -17)

**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 51?

The method of calculating the factors of 51 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 51 are the factors of 51.

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

(i) 51 ÷ 1 = 51

This division gives the remainder 0 and so is divisible by 51. So please put them 1 and 51 in your factor list.

1, … 51

(ii) 51 ÷ 2 = 25.5

This division gives the remainder 25.5, not being thoroughly divided. So we will not write 2 and 25.5 on the list.

(iii) 51 ÷ 3 = 17

This division gives the remainder 0 and so is divisible by 17. So please put them 3 and 17in your factor list.

1, 3 … 17, 51

(iv) 51 ÷ 4 = 12.75

This division gives the remainder 12.75, not being thoroughly divided. So we will not write 4 and 12.75 on the list.

(v) 51 ÷ 5 = 10.2

This division gives the remainder 10.2, not being thoroughly divided. So we will not write 5 and 10.2 on the list.

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

So 1, 3 and 17 are factors of 51.

## Factor pairs of 51

1 x 51 = 51

3 x 17 = 51

So, (1, 51) and (3, 17) are factor pairs of 51

## Factor pairs of -51

-1 x -51 = 51

-3 x -17 = 51

So, (-1, -51), and (-3, -17) are negative pair factors of 51

## Prime Factorization of 51

51 ÷ 3 = 17

17 ÷ 17 = 1

Therefore, 3 x 17 are Prime factorization of 51.

## Factor tree of 51

```
51
/ \
3 17
```