You are watching: What is the prime factorization of 44

## Why is the prime factorization of 44 written as 22 x 111?

### What is prime factorization?

**Prime factorization** or **prime variable decomposition** is the procedure of recognize which element numbers can be multiplied together to make the original number.

### Finding the prime components of 44

To find the element factors, you start by splitting the number by the an initial prime number, which is 2. If there **is not** a remainder, definition you have the right to divide evenly, climate 2 is a variable of the number. Continue dividing through 2 until you cannot division evenly anymore. Create down how many 2"s you were able to division by evenly. Now try dividing by the following prime factor, which is 3. The goal is to get to a quotient of 1.

If that doesn"t make feeling yet, let"s shot it...

Here space the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Let"s start by dividing 44 through 2

44 ÷ 2 = 22 - No remainder! 2 is just one of the factors!22 ÷ 2 = 11 - No remainder! 2 is one of the factors!11 ÷ 2 = 5.5 - over there is a remainder. Us can"t division by 2 same anymore. Let"s try the following prime number11 ÷ 3 = 3.6667 - This has a remainder. 3 is no a factor.11 ÷ 5 = 2.2 - This has actually a remainder. 5 is no a factor.11 ÷ 7 = 1.5714 - This has actually a remainder. 7 is not a factor.11 ÷ 11 = 1 - No remainder! 11 is just one of the factors!

The orange divisor(s) over are the prime components of the number 44. If we put every one of it together we have the components 2 x 2 x 11 = 44. It can also be written in exponential type as 22 x 111.

### Factor Tree

Another method to carry out prime administrate is to usage a factor tree. Below is a element tree because that the number 44.

44 | |||

2 | 22 | ||

2 | 11 |

### More element Factorization Examples

42 | 43 | 45 | 46 |

21 x 31 x 71 | 431 | 32 x 51 | 21 x 231 |

shot the factor calculator

### Explore more about the number 44:

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