# Factors of 134

Factors of 134 are 1, 2, 67, and 134

#### How to find factors of a number

 1.   Find factors of 134 using Division Method 2.   Find factors of 134 using Prime Factorization 3.   Find factors of 134 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 134

• Divide 134 by 1: 134 ÷ 1 : Remainder = 0
• Divide 134 by 2: 134 ÷ 2 : Remainder = 0
• Divide 134 by 67: 134 ÷ 67 : Remainder = 0
• Divide 134 by 134: 134 ÷ 134 : Remainder = 0

Hence, Factors of 134 are 1, 2, 67, and 134

#### 2. Steps to find factors of 134 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 134 using the division method, follow these steps:

• Step 1. Start dividing 134 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 134, which is 2. Divide 134 by 2 to obtain the quotient (67).
134 ÷ 2 = 67
• Step 3. Repeat step 1 with the obtained quotient (67).
67 ÷ 67 = 1

So, the prime factorization of 134 is, 134 = 2 x 67.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 134 as shown below:

So, the prime factorization of 134 is, 134 = 2 x 67.

#### 3. Find factors of 134 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 134 would be the two numbers which, when multiplied, give 134 as the result.

The following table represents the calculation of factors of 134 in pairs:

Factor Pair Pair Factorization
1 and 134 1 x 134 = 134
2 and 67 2 x 67 = 134

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 134. They are called negative pair factors.

Hence, the negative pairs of 134 would be ( -1 , -134 ) , ( -2 , -67 ) .

#### 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

• Each number is a factor of itself. Eg. 134 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 67, 134 are exact divisors of 134.
• 1 is a factor of every number. Eg. 1 is a factor of 134.
• Every number is a factor of zero (0), since 134 x 0 = 0.

• What is prime factorization of 134?

Prime factorization of 134 is 2 x 67.

• How do you find factors of a negative number? ( eg. -134 )?

Factors of -134 are -1, -2, -67, -134.

• What are the prime factors of 134?

The factors of 134 are 1, 2, 67, 134.
Prime factors of 134 are 2, 67.

• What are pair factors of 134?

The pair factors of 134 are (1,134), (2,67).

• What is the greatest prime factors of 134?

The greatest prime factor of 134 is 67.

• What are six multiples of 134?

First five multiples of 134 are 268, 402, 536, 670, 804, 938.

• What are factors of 134?

Factors of 134 are 1, 2, 67, 134.

• Which is the smallest prime factor of 134?

Smallest prime factor of 134 is 2.

• Is 134 a whole number?

Yes 134 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 134. Can you predict the answer?

3 factor(s) of 134 are 1, 2, 67.

Sammy is puzzled while calculating the prime factors of 134. Can you help him find them?

Factors of 134 are 1, 2, 67, 134.
Prime factors of 134 are 2, 67

What is prime factorization of 134?

Prime factorization of 134 is 2 x 67 = 2 x 67.

Ariel has been assigned the task to find the product of all the prime factors of 134. Can you help her?

Prime factors of 134 are 2, 67.
Hence, the product of prime factors of 134.

Can you help Rubel to find out the product of the even factors of 134?

Factors of 134 are 1, 2, 67, 134.
Even factors of 134 are 2, 134.
Hence, product of even factors of 134 is; 2 x 134 = 268.

Joy wants to calculate mean of all the factors of 134. Help him in finding the mean of 134.

Factors of 134 are 1, 2, 67, 134.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 134 is 1 + 2 + 67 + 134 = 204.
Hence, the mean of factors of 134 is 204 ÷ 4 = 51.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 134? Help her in writing all the factors.

Positive factors are 1, 2, 67, 134.
Negative factors are -1, -2, -67, -134.