# Factors of 133

Factors of 133 are 1, 7, 19, and 133

#### How to find factors of a number

 1.   Find factors of 133 using Division Method 2.   Find factors of 133 using Prime Factorization 3.   Find factors of 133 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 133

• Divide 133 by 1: 133 ÷ 1 : Remainder = 0
• Divide 133 by 7: 133 ÷ 7 : Remainder = 0
• Divide 133 by 19: 133 ÷ 19 : Remainder = 0
• Divide 133 by 133: 133 ÷ 133 : Remainder = 0

Hence, Factors of 133 are 1, 7, 19, and 133

#### 2. Steps to find factors of 133 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 133 using the division method, follow these steps:

• Step 1. Start dividing 133 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 133, which is 7. Divide 133 by 7 to obtain the quotient (19).
133 ÷ 7 = 19
• Step 3. Repeat step 1 with the obtained quotient (19).
19 ÷ 19 = 1

So, the prime factorization of 133 is, 133 = 7 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 133 as shown below:

So, the prime factorization of 133 is, 133 = 7 x 19.

#### 3. Find factors of 133 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 133 would be the two numbers which, when multiplied, give 133 as the result.

The following table represents the calculation of factors of 133 in pairs:

Factor Pair Pair Factorization
1 and 133 1 x 133 = 133
7 and 19 7 x 19 = 133

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 133. They are called negative pair factors.

Hence, the negative pairs of 133 would be ( -1 , -133 ) , ( -7 , -19 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 7, 19, 133 are exact divisors of 133.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 133 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 133.

• Which is the smallest prime factor of 133?

The smallest prime factor of 133 is 7.

• Is 133 a whole number?

Yes 133 is a whole number.

• What are the prime factors of 133?

The factors of 133 are 1, 7, 19, 133.
Prime factors of 133 are 7, 19.

• What two numbers make 133?

Two numbers that make 133 are 7 and 19.

• What are multiples of 133?

First five multiples of 133 are 266, 399, 532, 665.

• What is the sum of all factors of 133?

The sum of all factors of 133 is 160.

• What are five multiples of 133?

First five multiples of 133 are 266, 399, 532, 665, 798.

• Is 133 a perfect square?

No 133 is not a perfect square.

• What is the greatest prime factors of 133?

The greatest prime factor of 133 is 19.

#### Examples of Factors

How many factors are there for 133?

Factors of 133 are 1, 7, 19, 133.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 133. Can you predict the answer?

3 factor(s) of 133 are 1, 7, 19.

Sammy is puzzled while calculating the prime factors of 133. Can you help him find them?

Factors of 133 are 1, 7, 19, 133.
Prime factors of 133 are 7, 19

What is prime factorization of 133?

Prime factorization of 133 is 7 x 19 = 7 x 19.

Ariel has been assigned the task to find the product of all the prime factors of 133. Can you help her?

Prime factors of 133 are 7, 19.
Hence, the product of prime factors of 133.

Can you help Rubel to find out the product of the even factors of 133?

Factors of 133 are 1, 7, 19, 133.
Even factors of 133 are 0.
Hence, product of even factors of 133 is; 0 = 0.

Joy wants to calculate mean of all the factors of 133. Help him in finding the mean of 133.

Factors of 133 are 1, 7, 19, 133.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 133 is 1 + 7 + 19 + 133 = 160.
Hence, the mean of factors of 133 is 160 ÷ 4 = 40.00.