## Why is the element factorization the 129 created as 31 x 431?

### What is prime factorization?

**Prime factorization** or **prime variable decomposition** is the process of detect which prime numbers deserve to be multiplied with each other to do the initial number.

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### Finding the prime determinants of 129

To uncover the prime factors, you start by dividing the number through the an initial prime number, which is 2. If there **is not** a remainder, an interpretation you have the right to divide evenly, climate 2 is a element of the number. Continue dividing through 2 until you cannot divide evenly anymore. Create down how countless 2"s you were able to division by evenly. Now try dividing by the next prime factor, i m sorry is 3. The score is to get to a quotient the 1.

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

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

Let"s start by separating 129 through 2

129 ÷ 2 = 64.5 - This has actually a remainder. Let"s shot another prime number.129 ÷ 3 = 43 - No remainder! 3 is just one of the factors!43 ÷ 3 = 14.3333 - over there is a remainder. Us can"t divide by 3 same anymore. Let"s try the following prime number43 ÷ 5 = 8.6 - This has a remainder. 5 is no a factor.43 ÷ 7 = 6.1429 - This has actually a remainder. 7 is not a factor.43 ÷ 11 = 3.9091 - This has a remainder. 11 is no a factor....**Keep trying progressively larger numbers till you uncover one the divides evenly.See more: What Is The Greatest Common Factor Of 24 And 100 , Gcf Of 24 And 100**...43 ÷ 43 = 1 - No remainder! 43 is among the factors!

The orange divisor(s) over are the prime components of the number 129. If us put every one of it together we have actually the factors 3 x 43 = 129. That can likewise be created in exponential form as 31 x 431.

### Factor Tree

Another way to carry out prime administer is to usage a variable tree. Below is a variable tree because that the number 129.

129 | ||

3 | 43 |

### More prime Factorization Examples

127 | 128 | 130 | 131 |

1271 | 27 | 21 x 51 x 131 | 1311 |

shot the variable calculator