# Factors of 492

Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492

#### How to find factors of a number

 1.   Find factors of 492 using Division Method 2.   Find factors of 492 using Prime Factorization 3.   Find factors of 492 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 492

• Divide 492 by 1: 492 ÷ 1 : Remainder = 0
• Divide 492 by 2: 492 ÷ 2 : Remainder = 0
• Divide 492 by 3: 492 ÷ 3 : Remainder = 0
• Divide 492 by 4: 492 ÷ 4 : Remainder = 0
• Divide 492 by 6: 492 ÷ 6 : Remainder = 0
• Divide 492 by 12: 492 ÷ 12 : Remainder = 0
• Divide 492 by 41: 492 ÷ 41 : Remainder = 0
• Divide 492 by 82: 492 ÷ 82 : Remainder = 0
• Divide 492 by 123: 492 ÷ 123 : Remainder = 0
• Divide 492 by 164: 492 ÷ 164 : Remainder = 0
• Divide 492 by 246: 492 ÷ 246 : Remainder = 0
• Divide 492 by 492: 492 ÷ 492 : Remainder = 0

Hence, Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492

#### 2. Steps to find factors of 492 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 492 using the division method, follow these steps:

• Step 1. Start dividing 492 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 492, which is 2. Divide 492 by 2 to obtain the quotient (246).
492 ÷ 2 = 246
• Step 3. Repeat step 1 with the obtained quotient (246).
246 ÷ 2 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1

So, the prime factorization of 492 is, 492 = 2 x 2 x 3 x 41.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 492 as shown below:

So, the prime factorization of 492 is, 492 = 2 x 2 x 3 x 41.

#### 3. Find factors of 492 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 492 would be the two numbers which, when multiplied, give 492 as the result.

The following table represents the calculation of factors of 492 in pairs:

Factor Pair Pair Factorization
1 and 492 1 x 492 = 492
2 and 246 2 x 246 = 492
3 and 164 3 x 164 = 492
4 and 123 4 x 123 = 492
6 and 82 6 x 82 = 492
12 and 41 12 x 41 = 492

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 492. They are called negative pair factors.

Hence, the negative pairs of 492 would be ( -1 , -492 ) , ( -2 , -246 ) , ( -3 , -164 ) , ( -4 , -123 ) , ( -6 , -82 ) and ( -12 , -41 ) .

#### 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. 492 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 492.
• Every number is a factor of zero (0), since 492 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, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 are exact divisors of 492.
• Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. Each factor divides 492 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 are all less than or equal to 492.

• How do you find factors of a negative number? ( eg. -492 )?

Factors of -492 are -1, -2, -3, -4, -6, -12, -41, -82, -123, -164, -246, -492.

• What is the sum of all factors of 492?

The sum of all factors of 492 is 1176.

• What is prime factorization of 492?

Prime factorization of 492 is 2 x 2 x 3 x 41.

• What are the pair factors of 492?

Pair factors of 492 are (1,492), (2,246), (3,164), (4,123), (6,82), (12,41).

• What are six multiples of 492?

First five multiples of 492 are 984, 1476, 1968, 2460, 2952, 3444.

• Is 492 a whole number?

Yes 492 is a whole number.

• Which is the smallest prime factor of 492?

Smallest prime factor of 492 is 2.

• What are five multiples of 492?

First five multiples of 492 are 984, 1476, 1968, 2460, 2952.

• Write all factors of 492?

Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.

#### Examples of Factors

Joey wants to write all the prime factors of 492 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 492 are 2, 2, 3, 41.
So in exponential form it can be written as 22 x 3 x 41.

How many factors are there for 492?

Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 492. Can you predict the answer?

11 factor(s) of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246.

Sammy is puzzled while calculating the prime factors of 492. Can you help him find them?

Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
Prime factors of 492 are 2, 2, 3, 41

What is prime factorization of 492?

Prime factorization of 492 is 2 x 2 x 3 x 41 = 22 x 3 x 41.

Ariel has been assigned the task to find the product of all the prime factors of 492. Can you help her?

Prime factors of 492 are 2, 2, 3, 41.
Hence, the product of prime factors of 246.

Can you help Rubel to find out the product of the even factors of 492?

Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
Even factors of 492 are 2, 4, 6, 12, 82, 164, 246, 492.
Hence, product of even factors of 492 is; 2 x 4 x 6 x 12 x 82 x 164 x 246 x 492 = 937519681536.