In this blog post, we will take a closer look at the factors of 50, 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 50, pair factors, prime factorization, and its indivisible factors. We will also explore the concept of factor tree.

## Factors Calculator

Factors of 50: 1, 2, 5, 10, 25 and 50

Negative Factors of 50: -1, -2, -5, -10, -25 and -50

Prime Factors of 50: 2, 5

Prime Factorization of 50: 2 × 5 × 5

Factors of 50 in Pairs: (1, 50), (2, 25) and (5, 10)

Negative Pair Factors of 50: (-1, -50), (-2, -25) and (-5, -10)

**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 50?

The method of calculating the factors of 50 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 50 are the factors of 50.

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

(i) 50 ÷ 1 = 50

This division gives the remainder 0 and so is divisible by 50. So please put them 1 and 50 in your factor list.

1, … 50

(ii) 50 ÷ 2 = 25

This division gives the remainder 0 and so is divisible by 25. So please put them 2 and 25 in your factor list.

1, 2 … 25, 50

(iii) 50 ÷ 3 = 16.66

This division gives the remainder 16.66, not being thoroughly divided. So we will not write 3 and 16.66 on the list.

(iv) 50 ÷ 4 = 12.5

This division gives the remainder 12.5, not being thoroughly divided. So we will not write 4 and 12.5 on the list.

(v) 50 ÷ 5 = 10

This division gives the remainder 0 and so is divisible by 10. So please put them 5 and 10 in your factor list.

1, 2, 5 … 10, 25, 50

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

So 1, 2, 5, 10, 25 and 50 are factors of 50.

## Factor pairs of 50

1 x 50 = 50

2 x 25 = 50

5 x 10 = 50

So, (1, 50), (2, 25) and (5, 10) are factor pairs of 50

## Factor pairs of -50

-1 x -50 = 50

-2 x -25 = 50

-5 x -10 = 50

So, (-1, -50), (-2, -25) and (-5, -10) are negative pair factors of 50

## Prime Factorization of 50

50 ÷ 2 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Therefore, 2 x 5 x 5 are Prime factorization of 50.

## Factor tree of 50

```
50
/ \
2 25
/ \
5 5
```