# Factors of 498

Factors of 498 are 1, 2, 3, 6, 83, 166, 249, and 498

#### How to find factors of a number

 1.   Find factors of 498 using Division Method 2.   Find factors of 498 using Prime Factorization 3.   Find factors of 498 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 498

• Divide 498 by 1: 498 ÷ 1 : Remainder = 0
• Divide 498 by 2: 498 ÷ 2 : Remainder = 0
• Divide 498 by 3: 498 ÷ 3 : Remainder = 0
• Divide 498 by 6: 498 ÷ 6 : Remainder = 0
• Divide 498 by 83: 498 ÷ 83 : Remainder = 0
• Divide 498 by 166: 498 ÷ 166 : Remainder = 0
• Divide 498 by 249: 498 ÷ 249 : Remainder = 0
• Divide 498 by 498: 498 ÷ 498 : Remainder = 0

Hence, Factors of 498 are 1, 2, 3, 6, 83, 166, 249, and 498

#### 2. Steps to find factors of 498 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 498 using the division method, follow these steps:

• Step 1. Start dividing 498 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 498, which is 2. Divide 498 by 2 to obtain the quotient (249).
498 ÷ 2 = 249
• Step 3. Repeat step 1 with the obtained quotient (249).
249 ÷ 3 = 83
83 ÷ 83 = 1

So, the prime factorization of 498 is, 498 = 2 x 3 x 83.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 498 as shown below:

So, the prime factorization of 498 is, 498 = 2 x 3 x 83.

#### 3. Find factors of 498 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 498 would be the two numbers which, when multiplied, give 498 as the result.

The following table represents the calculation of factors of 498 in pairs:

Factor Pair Pair Factorization
1 and 498 1 x 498 = 498
2 and 249 2 x 249 = 498
3 and 166 3 x 166 = 498
6 and 83 6 x 83 = 498

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 498. They are called negative pair factors.

Hence, the negative pairs of 498 would be ( -1 , -498 ) , ( -2 , -249 ) , ( -3 , -166 ) and ( -6 , -83 ) .

#### 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

• Each number is a factor of itself. Eg. 498 is a factor of itself.
• 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, 6, 83, 166, 249, 498 are exact divisors of 498.
• 1 is a factor of every number. Eg. 1 is a factor of 498.
• Every number is a factor of zero (0), since 498 x 0 = 0.

• What are the prime factors of 498?

The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498.
Prime factors of 498 are 2, 3, 83.

• What two numbers make 498?

Two numbers that make 498 are 2 and 249.

• What is the greatest prime factors of 498?

The greatest prime factor of 498 is 83.

• What are factors of 498?

Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498.

• How do you find factors of a negative number? ( eg. -498 )?

Factors of -498 are -1, -2, -3, -6, -83, -166, -249, -498.

• What are five multiples of 498?

First five multiples of 498 are 996, 1494, 1992, 2490, 2988.

• Write some multiples of 498?

First five multiples of 498 are 996, 1494, 1992, 2490.

• Is 498 a perfect square?

No 498 is not a perfect square.

• What two numbers make 498?

Two numbers that make 498 are 2 and 249.

#### Examples of Factors

What is prime factorization of 498?

Prime factorization of 498 is 2 x 3 x 83 = 2 x 3 x 83.

Sammy is puzzled while calculating the prime factors of 498. Can you help him find them?

Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498.
Prime factors of 498 are 2, 3, 83

Kevin has been asked to write 7 factor(s) of 498. Can you predict the answer?

7 factor(s) of 498 are 1, 2, 3, 6, 83, 166, 249.

Joey wants to write all the prime factors of 498 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 498 are 2, 3, 83.
So in exponential form it can be written as 2 x 3 x 83.

How many factors are there for 498?

Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 498? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 83, 166, 249, 498.
Negative factors are -1, -2, -3, -6, -83, -166, -249, -498.

Can you help Rubel to find out the product of the even factors of 498?

Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498.
Even factors of 498 are 2, 6, 166, 498.
Hence, product of even factors of 498 is; 2 x 6 x 166 x 498 = 992016.