# Factors of 92

Factors of 92 are 1, 2, 4, 23, 46, and 92

#### How to find factors of a number

 1.   Find factors of 92 using Division Method 2.   Find factors of 92 using Prime Factorization 3.   Find factors of 92 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 92

• Divide 92 by 1: 92 ÷ 1 : Remainder = 0
• Divide 92 by 2: 92 ÷ 2 : Remainder = 0
• Divide 92 by 4: 92 ÷ 4 : Remainder = 0
• Divide 92 by 23: 92 ÷ 23 : Remainder = 0
• Divide 92 by 46: 92 ÷ 46 : Remainder = 0
• Divide 92 by 92: 92 ÷ 92 : Remainder = 0

Hence, Factors of 92 are 1, 2, 4, 23, 46, and 92

#### 2. Steps to find factors of 92 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 92 using the division method, follow these steps:

• Step 1. Start dividing 92 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 92, which is 2. Divide 92 by 2 to obtain the quotient (46).
92 ÷ 2 = 46
• Step 3. Repeat step 1 with the obtained quotient (46).
46 ÷ 2 = 23
23 ÷ 23 = 1

So, the prime factorization of 92 is, 92 = 2 x 2 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 92 as shown below:

So, the prime factorization of 92 is, 92 = 2 x 2 x 23.

#### 3. Find factors of 92 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 92 would be the two numbers which, when multiplied, give 92 as the result.

The following table represents the calculation of factors of 92 in pairs:

Factor Pair Pair Factorization
1 and 92 1 x 92 = 92
2 and 46 2 x 46 = 92
4 and 23 4 x 23 = 92

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 92. They are called negative pair factors.

Hence, the negative pairs of 92 would be ( -1 , -92 ) , ( -2 , -46 ) and ( -4 , -23 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 92 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 92.
• Every number is a factor of zero (0), since 92 x 0 = 0.
• 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, 4, 23, 46, 92 are exact divisors of 92.
• Factors of 92 are 1, 2, 4, 23, 46, 92. Each factor divides 92 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 23, 46, 92 are all less than or equal to 92.

• What two numbers make 92?

Two numbers that make 92 are 2 and 46.

• What is prime factorization of 92?

Prime factorization of 92 is 2 x 2 x 23.

• Write some multiples of 92?

First five multiples of 92 are 184, 276, 368, 460.

• Which is the smallest prime factor of 92?

The smallest prime factor of 92 is 2.

• Is 92 a perfect square?

No 92 is not a perfect square.

• What is the sum of all factors of 92?

The sum of all factors of 92 is 168.

• What are factors of 92?

Factors of 92 are 1, 2, 4, 23, 46, 92.

• How do you find factors of a negative number? ( eg. -92 )?

Factors of -92 are -1, -2, -4, -23, -46, -92.

• Is 92 a whole number?

Yes 92 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 92. Help him in finding the mean of 92.

Factors of 92 are 1, 2, 4, 23, 46, 92.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 92 is 1 + 2 + 4 + 23 + 46 + 92 = 168.
Hence, the mean of factors of 92 is 168 ÷ 6 = 28.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 92? Help her in writing all the factors.

Positive factors are 1, 2, 4, 23, 46, 92.
Negative factors are -1, -2, -4, -23, -46, -92.

Joey wants to write all the prime factors of 92 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 92 are 2, 2, 23.
So in exponential form it can be written as 22 x 23.

Kevin has been asked to write 5 factor(s) of 92. Can you predict the answer?

5 factor(s) of 92 are 1, 2, 4, 23, 46.

Sammy is puzzled while calculating the prime factors of 92. Can you help him find them?

Factors of 92 are 1, 2, 4, 23, 46, 92.
Prime factors of 92 are 2, 2, 23

What is prime factorization of 92?

Prime factorization of 92 is 2 x 2 x 23 = 22 x 23.

Can you help Rubel to find out the product of the even factors of 92?

Factors of 92 are 1, 2, 4, 23, 46, 92.
Even factors of 92 are 2, 4, 46, 92.
Hence, product of even factors of 92 is; 2 x 4 x 46 x 92 = 33856.