# Factors of 129

Factors of 129 are 1, 3, 43, and 129

#### How to find factors of a number

 1.   Find factors of 129 using Division Method 2.   Find factors of 129 using Prime Factorization 3.   Find factors of 129 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 129

• Divide 129 by 1: 129 ÷ 1 : Remainder = 0
• Divide 129 by 3: 129 ÷ 3 : Remainder = 0
• Divide 129 by 43: 129 ÷ 43 : Remainder = 0
• Divide 129 by 129: 129 ÷ 129 : Remainder = 0

Hence, Factors of 129 are 1, 3, 43, and 129

#### 2. Steps to find factors of 129 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 129 using the division method, follow these steps:

• Step 1. Start dividing 129 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 129, which is 3. Divide 129 by 3 to obtain the quotient (43).
129 ÷ 3 = 43
• Step 3. Repeat step 1 with the obtained quotient (43).
43 ÷ 43 = 1

So, the prime factorization of 129 is, 129 = 3 x 43.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 129 as shown below:

So, the prime factorization of 129 is, 129 = 3 x 43.

#### 3. Find factors of 129 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 129 would be the two numbers which, when multiplied, give 129 as the result.

The following table represents the calculation of factors of 129 in pairs:

Factor Pair Pair Factorization
1 and 129 1 x 129 = 129
3 and 43 3 x 43 = 129

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 129. They are called negative pair factors.

Hence, the negative pairs of 129 would be ( -1 , -129 ) , ( -3 , -43 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 43, 129 are exact divisors of 129.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 129 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 129.

• What are the prime factors of 129?

The factors of 129 are 1, 3, 43, 129.
Prime factors of 129 are 3, 43.

• What two numbers make 129?

Two numbers that make 129 are 3 and 43.

• What is the greatest prime factors of 129?

The greatest prime factor of 129 is 43.

• What are factors of 129?

Factors of 129 are 1, 3, 43, 129.

• How do you find factors of a negative number? ( eg. -129 )?

Factors of -129 are -1, -3, -43, -129.

• What are five multiples of 129?

First five multiples of 129 are 258, 387, 516, 645, 774.

• Write some multiples of 129?

First five multiples of 129 are 258, 387, 516, 645.

• Is 129 a perfect square?

No 129 is not a perfect square.

• What two numbers make 129?

Two numbers that make 129 are 3 and 43.

#### Examples of Factors

What is prime factorization of 129?

Prime factorization of 129 is 3 x 43 = 3 x 43.

Sammy is puzzled while calculating the prime factors of 129. Can you help him find them?

Factors of 129 are 1, 3, 43, 129.
Prime factors of 129 are 3, 43

Kevin has been asked to write 3 factor(s) of 129. Can you predict the answer?

3 factor(s) of 129 are 1, 3, 43.

Joey wants to write all the prime factors of 129 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 129 are 3, 43.
So in exponential form it can be written as 3 x 43.

How many factors are there for 129?

Factors of 129 are 1, 3, 43, 129.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 129? Help her in writing all the factors.

Positive factors are 1, 3, 43, 129.
Negative factors are -1, -3, -43, -129.

Can you help Rubel to find out the product of the even factors of 129?

Factors of 129 are 1, 3, 43, 129.
Even factors of 129 are 0.
Hence, product of even factors of 129 is; 0 = 0.