1. Steps to find factors of 2003 using Division Method

Example: Find factors of 2003

  • Divide 2003 by 1: 2003 ÷ 1 : Remainder = 0
  • Divide 2003 by 2003: 2003 ÷ 2003 : Remainder = 0

Hence, Factors of 2003 are 1 and 2003

2. Steps to find factors of 2003 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 2003 using the division method, follow these steps:

  • Step 1. Start dividing 2003 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 2003, which is 2003. Divide 2003 by 2003 to obtain the quotient (1).
    2003 ÷ 2003 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 2003 is, 2003 = 2003.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2003 as shown below:

So, the prime factorization of 2003 is, 2003 = 2003.

3. Find factors of 2003 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 2003 would be the two numbers which, when multiplied, give 2003 as the result.

The following table represents the calculation of factors of 2003 in pairs:

Factor Pair Pair Factorization
1 and 2003 1 x 2003 = 2003

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 2003. They are called negative pair factors.

Hence, the negative pairs of 2003 would be ( -1 , -2003 ) , .

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 number is a factor of zero (0), since 2003 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, 2003 are exact divisors of 2003.
  • Factors of 2003 are 1, 2003. Each factor divides 2003 without leaving a remainder.

Frequently Asked Questions

  • What are the pair factors of 2003?

    Pair factors of 2003 are (1,2003).

  • What are five multiples of 2003?

    First five multiples of 2003 are 4006, 6009, 8012, 10015, 12018.

  • What two numbers make 2003?

    Two numbers that make 2003 are 2003 and 1.

  • What is the sum of all factors of 2003?

    The sum of all factors of 2003 is 2004.

  • What are factors of -2003?

    Factors of -2003 are -1, -2003.

  • What are factors of 2003?

    Factors of 2003 are 1, 2003.

  • Is 2003 a perfect square?

    No 2003 is not a perfect square.

  • Which is the smallest prime factor of 2003?

    Smallest prime factor of 2003 is 2003.

  • Which is greatest factor of 2003?

    The greatest factor of 2003 is 1.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 2003?

Factors of 2003 are 1, 2003.
Odd factors of 2003 are 1, 2003.
Hence product of odd factors of 2003 is; 1 x 2003 = 2003.

Joey wants to write all the prime factors of 2003 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2003 are 2003.
So in exponential form it can be written as 2003.

How many factors are there for 2003?

Factors of 2003 are 1, 2003.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 2003. Can you predict the answer?

1 factor(s) of 2003 is 1.

Sammy is puzzled while calculating the prime factors of 2003. Can you help him find them?

Factors of 2003 are 1, 2003.
Prime factors of 2003 are 2003

What is prime factorization of 2003?

Prime factorization of 2003 is 2003 = 2003.

Can you help Rubel to find out the product of the even factors of 2003?

Factors of 2003 are 1, 2003.
Even factors of 2003 are 0.
Hence, product of even factors of 2003 is; 0 = 0.