1. Steps to find factors of 998 using Division Method

Example: Find factors of 998

  • Divide 998 by 1: 998 ÷ 1 : Remainder = 0
  • Divide 998 by 2: 998 ÷ 2 : Remainder = 0
  • Divide 998 by 499: 998 ÷ 499 : Remainder = 0
  • Divide 998 by 998: 998 ÷ 998 : Remainder = 0

Hence, Factors of 998 are 1, 2, 499, and 998

2. Steps to find factors of 998 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 998 using the division method, follow these steps:

  • Step 1. Start dividing 998 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 998, which is 2. Divide 998 by 2 to obtain the quotient (499).
    998 ÷ 2 = 499
  • Step 3. Repeat step 1 with the obtained quotient (499).
    499 ÷ 499 = 1

So, the prime factorization of 998 is, 998 = 2 x 499.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 998 as shown below:

So, the prime factorization of 998 is, 998 = 2 x 499.

3. Find factors of 998 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 998 would be the two numbers which, when multiplied, give 998 as the result.

The following table represents the calculation of factors of 998 in pairs:

Factor Pair Pair Factorization
1 and 998 1 x 998 = 998
2 and 499 2 x 499 = 998

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 998. They are called negative pair factors.

Hence, the negative pairs of 998 would be ( -1 , -998 ) , ( -2 , -499 ) .

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. 998 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, 499, 998 are exact divisors of 998.
  • 1 is a factor of every number. Eg. 1 is a factor of 998.
  • Every number is a factor of zero (0), since 998 x 0 = 0.

Frequently Asked Questions

  • What is prime factorization of 998?

    Prime factorization of 998 is 2 x 499.

  • How do you find factors of a negative number? ( eg. -998 )?

    Factors of -998 are -1, -2, -499, -998.

  • What are the prime factors of 998?

    The factors of 998 are 1, 2, 499, 998.
    Prime factors of 998 are 2, 499.

  • What are pair factors of 998?

    The pair factors of 998 are (1,998), (2,499).

  • What is the greatest prime factors of 998?

    The greatest prime factor of 998 is 499.

  • What are six multiples of 998?

    First five multiples of 998 are 1996, 2994, 3992, 4990, 5988, 6986.

  • What are factors of 998?

    Factors of 998 are 1, 2, 499, 998.

  • Which is the smallest prime factor of 998?

    Smallest prime factor of 998 is 2.

  • Is 998 a whole number?

    Yes 998 is a whole number.

Examples of Factors

Kevin has been asked to write 3 factor(s) of 998. Can you predict the answer?

3 factor(s) of 998 are 1, 2, 499.

Sammy is puzzled while calculating the prime factors of 998. Can you help him find them?

Factors of 998 are 1, 2, 499, 998.
Prime factors of 998 are 2, 499

What is prime factorization of 998?

Prime factorization of 998 is 2 x 499 = 2 x 499.

Ariel has been assigned the task to find the product of all the prime factors of 998. Can you help her?

Prime factors of 998 are 2, 499.
Hence, the product of prime factors of 998.

Can you help Rubel to find out the product of the even factors of 998?

Factors of 998 are 1, 2, 499, 998.
Even factors of 998 are 2, 998.
Hence, product of even factors of 998 is; 2 x 998 = 1996.

Joy wants to calculate mean of all the factors of 998. Help him in finding the mean of 998.

Factors of 998 are 1, 2, 499, 998.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 998 is 1 + 2 + 499 + 998 = 1500.
Hence, the mean of factors of 998 is 1500 ÷ 4 = 375.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 998? Help her in writing all the factors.

Positive factors are 1, 2, 499, 998.
Negative factors are -1, -2, -499, -998.