A: The prime determinants are: 2 x 23 or also written as 2, 23 written in exponential form: 21 x 231

## Why is the prime factorization that 46 composed as 21 x 231?

### What is prime factorization?

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

You are watching: What is the prime factorization of 46

### Finding the prime determinants of 46

To find the element factors, you begin by separating the number through the very first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, climate 2 is a factor of the number. Continue dividing through 2 until you cannot division evenly anymore. Compose down how numerous 2"s you were able to division by evenly. Now shot dividing through the next prime factor, i m sorry is 3. The score is to acquire to a quotient the 1.

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

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

Let"s begin by separating 46 by 2

46 ÷ 2 = 23 - No remainder! 2 is among the factors!23 ÷ 2 = 11.5 - there is a remainder. We can"t division by 2 same anymore. Let"s try the following prime number23 ÷ 3 = 7.6667 - This has a remainder. 3 is no a factor.23 ÷ 5 = 4.6 - This has a remainder. 5 is no a factor.23 ÷ 7 = 3.2857 - This has actually a remainder. 7 is not a factor....Keep trying significantly larger numbers till you discover one that divides evenly.

See more: The Only Thing We Have To Fear Is Fear Itself Churchill, Churchill, Roosevelt And The Reporters

...23 ÷ 23 = 1 - No remainder! 23 is one of the factors!

The orange divisor(s) above are the prime components of the number 46. If us put every one of it with each other we have actually the components 2 x 23 = 46. That can likewise be written in exponential kind as 21 x 231.

### Factor Tree

Another means to carry out prime administer is to usage a factor tree. Listed below is a aspect tree because that the number 46.

 46 2 23

### More element Factorization Examples

 44 45 47 48 22 x 111 32 x 51 471 24 x 31

try the aspect calculator

### Explore more about the number 46:

basic Questions
Factoring concerns
Calculation inquiries
assorted Questions