# Factors of 93

Factors of 93 are 1, 3, 31, and 93

#### How to find factors of a number

 1.   Find factors of 93 using Division Method 2.   Find factors of 93 using Prime Factorization 3.   Find factors of 93 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 93

• Divide 93 by 1: 93 ÷ 1 : Remainder = 0
• Divide 93 by 3: 93 ÷ 3 : Remainder = 0
• Divide 93 by 31: 93 ÷ 31 : Remainder = 0
• Divide 93 by 93: 93 ÷ 93 : Remainder = 0

Hence, Factors of 93 are 1, 3, 31, and 93

#### 2. Steps to find factors of 93 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 93 using the division method, follow these steps:

• Step 1. Start dividing 93 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 93, which is 3. Divide 93 by 3 to obtain the quotient (31).
93 ÷ 3 = 31
• Step 3. Repeat step 1 with the obtained quotient (31).
31 ÷ 31 = 1

So, the prime factorization of 93 is, 93 = 3 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 93 as shown below:

So, the prime factorization of 93 is, 93 = 3 x 31.

#### 3. Find factors of 93 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 93 would be the two numbers which, when multiplied, give 93 as the result.

The following table represents the calculation of factors of 93 in pairs:

Factor Pair Pair Factorization
1 and 93 1 x 93 = 93
3 and 31 3 x 31 = 93

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 93. They are called negative pair factors.

Hence, the negative pairs of 93 would be ( -1 , -93 ) , ( -3 , -31 ) .

#### 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, 3, 31, 93 are exact divisors of 93.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 93 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 93.

• What are the prime factors of 93?

The factors of 93 are 1, 3, 31, 93.
Prime factors of 93 are 3, 31.

• What two numbers make 93?

Two numbers that make 93 are 3 and 31.

• What is the greatest prime factors of 93?

The greatest prime factor of 93 is 31.

• What are factors of 93?

Factors of 93 are 1, 3, 31, 93.

• How do you find factors of a negative number? ( eg. -93 )?

Factors of -93 are -1, -3, -31, -93.

• What are five multiples of 93?

First five multiples of 93 are 186, 279, 372, 465, 558.

• Write some multiples of 93?

First five multiples of 93 are 186, 279, 372, 465.

• Is 93 a perfect square?

No 93 is not a perfect square.

• What two numbers make 93?

Two numbers that make 93 are 3 and 31.

#### Examples of Factors

What is prime factorization of 93?

Prime factorization of 93 is 3 x 31 = 3 x 31.

Sammy is puzzled while calculating the prime factors of 93. Can you help him find them?

Factors of 93 are 1, 3, 31, 93.
Prime factors of 93 are 3, 31

Kevin has been asked to write 3 factor(s) of 93. Can you predict the answer?

3 factor(s) of 93 are 1, 3, 31.

Joey wants to write all the prime factors of 93 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 93 are 3, 31.
So in exponential form it can be written as 3 x 31.

How many factors are there for 93?

Factors of 93 are 1, 3, 31, 93.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 93? Help her in writing all the factors.

Positive factors are 1, 3, 31, 93.
Negative factors are -1, -3, -31, -93.

Can you help Rubel to find out the product of the even factors of 93?

Factors of 93 are 1, 3, 31, 93.
Even factors of 93 are 0.
Hence, product of even factors of 93 is; 0 = 0.