# Factors of 493

Factors of 493 are 1, 17, 29, and 493

#### How to find factors of a number

 1.   Find factors of 493 using Division Method 2.   Find factors of 493 using Prime Factorization 3.   Find factors of 493 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 493

• Divide 493 by 1: 493 ÷ 1 : Remainder = 0
• Divide 493 by 17: 493 ÷ 17 : Remainder = 0
• Divide 493 by 29: 493 ÷ 29 : Remainder = 0
• Divide 493 by 493: 493 ÷ 493 : Remainder = 0

Hence, Factors of 493 are 1, 17, 29, and 493

#### 2. Steps to find factors of 493 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 493 using the division method, follow these steps:

• Step 1. Start dividing 493 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 493, which is 17. Divide 493 by 17 to obtain the quotient (29).
493 ÷ 17 = 29
• Step 3. Repeat step 1 with the obtained quotient (29).
29 ÷ 29 = 1

So, the prime factorization of 493 is, 493 = 17 x 29.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 493 as shown below:

So, the prime factorization of 493 is, 493 = 17 x 29.

#### 3. Find factors of 493 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 493 would be the two numbers which, when multiplied, give 493 as the result.

The following table represents the calculation of factors of 493 in pairs:

Factor Pair Pair Factorization
1 and 493 1 x 493 = 493
17 and 29 17 x 29 = 493

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 493. They are called negative pair factors.

Hence, the negative pairs of 493 would be ( -1 , -493 ) , ( -17 , -29 ) .

#### 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, 17, 29, 493 are exact divisors of 493.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 493 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 493.

• Which is the smallest prime factor of 493?

The smallest prime factor of 493 is 17.

• Is 493 a whole number?

Yes 493 is a whole number.

• What are the prime factors of 493?

The factors of 493 are 1, 17, 29, 493.
Prime factors of 493 are 17, 29.

• What two numbers make 493?

Two numbers that make 493 are 17 and 29.

• What are multiples of 493?

First five multiples of 493 are 986, 1479, 1972, 2465.

• What is the sum of all factors of 493?

The sum of all factors of 493 is 540.

• What are five multiples of 493?

First five multiples of 493 are 986, 1479, 1972, 2465, 2958.

• Is 493 a perfect square?

No 493 is not a perfect square.

• What is the greatest prime factors of 493?

The greatest prime factor of 493 is 29.

#### Examples of Factors

How many factors are there for 493?

Factors of 493 are 1, 17, 29, 493.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 493. Can you predict the answer?

3 factor(s) of 493 are 1, 17, 29.

Sammy is puzzled while calculating the prime factors of 493. Can you help him find them?

Factors of 493 are 1, 17, 29, 493.
Prime factors of 493 are 17, 29

What is prime factorization of 493?

Prime factorization of 493 is 17 x 29 = 17 x 29.

Ariel has been assigned the task to find the product of all the prime factors of 493. Can you help her?

Prime factors of 493 are 17, 29.
Hence, the product of prime factors of 493.

Can you help Rubel to find out the product of the even factors of 493?

Factors of 493 are 1, 17, 29, 493.
Even factors of 493 are 0.
Hence, product of even factors of 493 is; 0 = 0.

Joy wants to calculate mean of all the factors of 493. Help him in finding the mean of 493.

Factors of 493 are 1, 17, 29, 493.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 493 is 1 + 17 + 29 + 493 = 540.
Hence, the mean of factors of 493 is 540 ÷ 4 = 135.00.