Understanding Prime and Composite Numbers When studying mathematics, one of the fundamental concepts that students learn is that of prime and composite numbers. In this article, we will delve into the factors of 44, a composite number, and explore the various ways in which it can be broken down into its component parts.

## Contents

## Factors Calculator

Factors of 44: 1, 2, 4, 11**,** 22 and 44

Negative Factors of 44: -1, -2, -4, -11, -22 and -44

Prime Factors of 44: 2, 11

Prime Factorization of 44: 2 × 2 × 11

Factors of 44 in Pairs: (1, 44), (2, 22) and (4, 11)

Negative Pairs Factors of 44: (-1, -44), (-2, -22) and (-4, -11)

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 44?

The method of calculating the factors of 44 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 44 are the factors of 44.

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

(i) 44 ÷ 1 = 44

This division gives the remainder 0 and so is divisible by 44. So please put them 1 and 44 in your factor list.

1, …. 44

(ii) 44 ÷ 2 = 22

This division gives the remainder 0 and so is divisible by 22. So please put them 2 and 22 in your factor list.

1, 2 …. 22, 44

(iii) 44 ÷ 3 = 14.66

This division gives the remainder 14.66, not being thoroughly divided. So we will not write 3 and 14.66 on the list.

(iv) 44 ÷ 4 = 11

This division gives the remainder 0 and so is divisible by 11. So please put them 4 and 11 in your factor list.

1, 2, 4 …. 11, 22, 44

(iv) 44 ÷ 5 = 8.8

This division gives the remainder 8.8, not being thoroughly divided. So we will not write 5 and 8.8 on the list.

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

So 1, 2, 4, 11, 22 and 44 are factors of 44.

## Factor pairs of 44

1 x 44 = 44

2 x 22 = 44

4 x 11 = 44

So, (1, 44), (2, 22) and (4, 11) are factor pairs of 44

## Factor pairs of -44

-1 x -44 = 44

-2 x -22 = 44

-4 x -11 = 44

So, (-1, -44), (-2, -22) and (-4, -11) are negative pair factors of 44

## Prime Factorization of 44

44 ÷ 2 = 22

22 ÷ 2 = 11

11 ÷ 11 = 1

Therefore, 2 × 2 × 11 are Prime factorization of 44.

## Factor tree of 44

```
44
/ \
2 22
/ \
2 11
```

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Factor Pairs of 66 |