# Factors of 988

Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, and 988

#### How to find factors of a number

 1.   Find factors of 988 using Division Method 2.   Find factors of 988 using Prime Factorization 3.   Find factors of 988 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 988

• Divide 988 by 1: 988 ÷ 1 : Remainder = 0
• Divide 988 by 2: 988 ÷ 2 : Remainder = 0
• Divide 988 by 4: 988 ÷ 4 : Remainder = 0
• Divide 988 by 13: 988 ÷ 13 : Remainder = 0
• Divide 988 by 19: 988 ÷ 19 : Remainder = 0
• Divide 988 by 26: 988 ÷ 26 : Remainder = 0
• Divide 988 by 38: 988 ÷ 38 : Remainder = 0
• Divide 988 by 52: 988 ÷ 52 : Remainder = 0
• Divide 988 by 76: 988 ÷ 76 : Remainder = 0
• Divide 988 by 247: 988 ÷ 247 : Remainder = 0
• Divide 988 by 494: 988 ÷ 494 : Remainder = 0
• Divide 988 by 988: 988 ÷ 988 : Remainder = 0

Hence, Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, and 988

#### 2. Steps to find factors of 988 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 988 using the division method, follow these steps:

• Step 1. Start dividing 988 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 988, which is 2. Divide 988 by 2 to obtain the quotient (494).
988 ÷ 2 = 494
• Step 3. Repeat step 1 with the obtained quotient (494).
494 ÷ 2 = 247
247 ÷ 13 = 19
19 ÷ 19 = 1

So, the prime factorization of 988 is, 988 = 2 x 2 x 13 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 988 as shown below:

So, the prime factorization of 988 is, 988 = 2 x 2 x 13 x 19.

#### 3. Find factors of 988 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 988 would be the two numbers which, when multiplied, give 988 as the result.

The following table represents the calculation of factors of 988 in pairs:

Factor Pair Pair Factorization
1 and 988 1 x 988 = 988
2 and 494 2 x 494 = 988
4 and 247 4 x 247 = 988
13 and 76 13 x 76 = 988
19 and 52 19 x 52 = 988
26 and 38 26 x 38 = 988

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 988. They are called negative pair factors.

Hence, the negative pairs of 988 would be ( -1 , -988 ) , ( -2 , -494 ) , ( -4 , -247 ) , ( -13 , -76 ) , ( -19 , -52 ) and ( -26 , -38 ) .

#### 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. 988 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 988.
• Every number is a factor of zero (0), since 988 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, 13, 19, 26, 38, 52, 76, 247, 494, 988 are exact divisors of 988.
• Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. Each factor divides 988 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988 are all less than or equal to 988.

• Which is the smallest prime factor of 988?

The smallest prime factor of 988 is 2.

• Is 988 a whole number?

Yes 988 is a whole number.

• What are the prime factors of 988?

The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.
Prime factors of 988 are 2, 2, 13, 19.

• What two numbers make 988?

Two numbers that make 988 are 2 and 494.

• What are multiples of 988?

First five multiples of 988 are 1976, 2964, 3952, 4940.

• What is the sum of all factors of 988?

The sum of all factors of 988 is 1960.

• What are five multiples of 988?

First five multiples of 988 are 1976, 2964, 3952, 4940, 5928.

• Is 988 a perfect square?

No 988 is not a perfect square.

• What is the greatest prime factors of 988?

The greatest prime factor of 988 is 19.

#### Examples of Factors

How many factors are there for 988?

Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 988. Can you predict the answer?

11 factor(s) of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494.

Sammy is puzzled while calculating the prime factors of 988. Can you help him find them?

Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.
Prime factors of 988 are 2, 2, 13, 19

What is prime factorization of 988?

Prime factorization of 988 is 2 x 2 x 13 x 19 = 22 x 13 x 19.

Ariel has been assigned the task to find the product of all the prime factors of 988. Can you help her?

Prime factors of 988 are 2, 2, 13, 19.
Hence, the product of prime factors of 494.

Can you help Rubel to find out the product of the even factors of 988?

Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.
Even factors of 988 are 2, 4, 26, 38, 52, 76, 494, 988.
Hence, product of even factors of 988 is; 2 x 4 x 26 x 38 x 52 x 76 x 494 x 988 = 15245713739776.

Joy wants to calculate mean of all the factors of 988. Help him in finding the mean of 988.

Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 988 is 1 + 2 + 4 + 13 + 19 + 26 + 38 + 52 + 76 + 247 + 494 + 988 = 1960.
Hence, the mean of factors of 988 is 1960 ÷ 12 = 163.33.